# Algebra and Representation Theory Seminar

The Algebra and Representation Theory Seminar (ARTS) normally meets in PHSC
1105 on Fridays at 3:30pm. For more information about the seminar, contact
Kimball Martin.

## Fall 2020

August 28
3:30 PM Zoom |
| Meet n' Greet |

September 11
3:30 PM Zoom |
Ricardo Mendes
University of Oklahoma | Maximality of Laplacian algebras, with applications to Invariant Theory. |

September 25
3:30 PM Zoom |
Ricardo Mendes
University of Oklahoma | Maximality of Laplacian algebras, part II |

October 9
3:30 PM Zoom |
Emily Gunawan
University of Oklahoma | Friezes |

October 16
3:30 PM Zoom |
Aram Dermenjian
York University | TBA |

## Spring 2020

January 23
4:00 PM PHSC 1105 |
Josep Àlvarez Montaner
Universitat Politècnica de Catalunya | Local cohomology of binomial edge ideals and their generic initial ideal |

January 31
3:30 PM PHSC 1105 |
Kimball Martin
University of Oklahoma | Galois orbits of modular forms |

February 14
3:30 PM PHSC 1105 |
Marcus Robinson
University of Utah | BCM Test Ideals of Mixed Characteristic Toric Schemes |

March 13
3:30 PM PHSC 1105 |
Simon Roby
OU and University of Lorraine, France | Resonances of the Laplacian on homogeneous vector bundles on real rank one symmetric spaces |

March 27
3:30 PM Zoom |
Ricardo Mendes
University of Oklahoma | Singular Riemannian foliations, manifold submetries, and Laplacian algebras |

April 10
3:30 PM Zoom |
Gregory Muller
University of Oklahoma | Paths in graphs and Lindstrom's lemma |

April 17
3:30 PM Zoom |
Jieru Zhu
SUNY Buffalo | Transitioning between the tableaux and spider bases for the Specht modules |

May 1
3:00 PM Zoom |
Javier Carvajal-Rojas
Ecole Polytechnique Federale de Lausanne | Fundamental groups of KLT singularities |

Show semesters preceding Spring 2020

## Fall 2019

August 30
3:30 PM PHSC 1105 |
Greg Muller
University of Oklahoma | Huang's proof of the Sensitivity Conjecture |

September 6
3:30 PM PHSC 1105 |
Trey Trampel
University of Notre Dame | Quantum cluster algebras at roots of unity and discriminants |

September 20
3:30 PM PHSC 1105 |
Joey Randich
University of Oklahoma | Silly Mathematician, Webs are for Spiders! |

September 27
3:30 PM PHSC 1105 |
Erin Hausmann
University of Oklahoma | The Ring of Symmetric Functions |

October 4
3:30 PM PHSC 1105 |
Ameya Pitale
University of Oklahoma | Special values of L-functions and congruences between modular forms |

October 18
3:30 PM PHSC 1105 |
Lucy Lifschitz
University of Oklahoma | Weakly commensurable groups with applications to the differential geometry |

October 25
3:30 PM PHSC 1105 |
Ricardo Mendes
University of Oklahoma | A diameter gap for quotients of the unit sphere |

November 1
3:30 PM PHSC 1105 |
Ryan Reynolds
University of Oklahoma | Algebras out of Diagrams! What’ll They Think of Next? |

November 15
3:30 PM PHSC 1105 |
Daniel Smolkin
University of Oklahoma | Frobenius splitting in commutative algebra |

November 22
3:30 PM PHSC 1105 |
Daniel Smolkin
University of Oklahoma | Diagonal F-regularity and symbolic powers |

## Spring 2019

January 25
3:30 PM PHSC 1105 |
Greg Muller
University of Oklahoma (Norman, OK, US) | Linear recurrences |

February 1
3:30 PM PHSC 1105 |
Tomasz Przebinda
University of Oklahoma (Norman, OK, US) | Howe's correspondence and characters for dual pairs over Archimedean and non-Archimedean fields |

February 8
3:30 PM PHSC 1105 |
Nick Davidson
University of Oklahoma (Norman, OK, US) | Practice Job Talk |

February 22
3:30 PM PHSC 1105 |
Thomas Morgan
University of Oklahoma (Norman, OK, US) | Representations of the Automorphism Group of a Right-Angled Coxeter Group |

March 1
3:30 PM PHSC 1105 |
Colm Mulcahy
Spelman College | The Mathematics of Martin Gardner: Frontier Writer Extraordinaire |

March 8
3:30 PM PHSC 1105 |
Jonathan Kujawa
University of Oklahoma (Norman, OK, US) | Support varieties for modular Lie superalgebras |

March 29
3:30 PM PHSC 1105 |
Shuji Horinaga
Kyoto University | Rankin-Cohen bracket and nearly holomorphic modular forms. |

April 12
3:30 PM PHSC 1105 |
Andrew Miller
University of Oklahoma (Norman, OK, US) | The triangular form and the negative Pell equation |

April 19
3:30 PM PHSC 1105 |
Ralf Schmidt
University of Oklahoma | Siegel Eisenstein series, special values, and congruences |

## Fall 2018

August 24
3:30 PM PHSC 1105 |
Brave Volunteers
| 5 minute talks |

August 31
3:30 PM PHSC 1105 |
Jonathan Kujawa
University of Oklahoma | Modified Traces |

September 7
3:30 PM PHSC 1105 |
Ralf Schmidt
University of Oklahoma | Paramodular forms of level 16 |

September 28
3:30 PM PHSC 1105 |
David Vogan
Massachusetts Institute of Technology | The size of infinite-dimensional representations |

October 12
3:30 PM PHSC 1105 |
Anne-Marie Aubert
Directrice de Recherches au CNRS, Institut de Mathématiques de Jussieu, Paris, France | Fluctuations of the depth under the local Langlands correspondence |

October 19
3:30 PM PHSC 1105 |
Edward Richmond
Oklahoma State University | The Nash blow-up of a cominuscule Schubert variety |

October 24
4:00 PM PHSC 1105 |
Robert Muth
Washington & Jefferson College | Schurifying superalgebras |

November 16
3:30 PM PHSC 1105 |
Manami Roy
University of Oklahoma | Paramodular forms coming from elliptic curves |

November 30
3:30 PM PHSC 1105 |
Shaoyun Yi
University of Oklahoma | Klingen p^2 vectors for GSp(4) |

December 7
3:30 PM PHSC 1105 |
Jonathan Cohen
University of Oklahoma | Local newforms for odd, unramified unitary groups |

## Spring 2018

February 2
3:30 PM PHSC 1105 |
Greg Muller
University of Oklahoma | Conic modules of toric algebras |

February 9
3:30 PM PHSC 1105 |
Tomasz Przebinda
University of Oklahoma | Characters of the Irreducible Unitary Highest Weight representations via Howe's correspondence and a formula of Rossmann - Duflo - Vergne |

February 23
3:30 PM PHSC 1105 |
Roi Docampo
University of Oklahoma | Differentials on the arc space |

March 9
3:30 PM PHSC 1105 |
Alexander Alldridge
UC Berkeley | A cohomological approach to the Berezin fibre integral |

April 6
3:30 PM PHSC 1105 |
Kimball Martin
University of Oklahoma | The basis problem |

April 20
3:30 PM PHSC 1105 |
Eugenia Rosu
University of Arizona | Twists of elliptic curves with CM |

April 27
3:30 PM PHSC 1105 |
Ameya Pitale
University of Oklahoma | Pullback of Eisenstein series |

May 4
3:30 PM PHSC 1105 |
Ralf Schmidt
University of Oklahoma | The symmetric group S_6 and automorphic Plancherel density for Siegel modular forms |

## Fall 2017

August 25
3:30 PM PHSC 1105 |
Roi Docampo
University of Oklahoma | Arcs and Jets in Algebraic Geometry Part 1 |

September 1
3:30 PM PHSC 1105 |
Roi Docampo
University of Oklahoma | Arcs and Jets in Algebraic Geometry Part 2 |

September 15
3:30 PM PHSC 1105 |
Benjamin Wyser
Oklahoma State University | Singularities of K-orbit closures and interval pattern avoidance |

September 22
3:30 PM PHSC 1105 |
Jon Kujawa
University of Oklahoma | TBA |

September 29
3:30 PM PHSC 1105 |
Jonathan Kujawa
University of Oklahoma | Realizing the spectrum of tensor categories |

October 6
3:30 PM PHSC 1105 |
Greg Muller
University of Oklahoma | An introduction to cluster algebras |

October 20
3:30 PM PHSC 1105 |
Greg Muller
University of Oklahoma | Canonical bases for cluster algebras |

October 27
3:30 PM PHSC 1105 |
Jonathan Cohen
University of Oklahoma | Some Tidbits of the Langlands Program |

November 3
3:30 PM PHSC 1105 |
Jonathan Cohen
University of Oklahoma | The Jacquet-Langlands Correspondence, and Transference of Orbital Integrals |

November 10
3:30 PM PHSC 1105 |
Baskar Balasubramanyam
IISER, Pune, India/UCLA | Non-archimedean distributions attached to twisted tensor L-functions |

November 17
3:30 PM PHSC 1105 |
Ralf Schmidt
University of Oklahoma | Stable Klingen vectors |

December 1
3:30 PM PHSC 1105 |
Beatriz Pascual
Universidad Autónoma de Madrid (Spain) | Invariants of singularities: from Nash to Hironaka |

December 8
3:30 PM PHSC 1105 |
Yusuf Danisman
University of Oklahoma | Local factors for the p-adic group GSp(4) |

## Spring 2017

January 27
3:30 PM PHSC 1105 |
Tomasz Przebinda
University of Oklahoma | Howe's theory of rank for finite groups |

February 3
3:30 PM PHSC 1105 |
Alan Roche
University of Oklahoma | Products of two involutions |

February 10
3:30 PM PHSC 1105 |
Murad Ozaydin
University of Oklahoma | Noncommutative Algebraic Geometry on a Leavitt Path Algebra of Polynomial Growth |

February 17
3:30 PM PHSC 1105 |
Murad Ozaydin
University of Oklahoma | Noncommutative Algebraic Geometry on a Leavitt Path Algebra of Polynomial Growth, Part 2 |

February 20
4:00PM PHSC 1105 |
Hung Yean Loke
National University of Singapore | Maximal primitive ideals corresponding to the model nilpotent orbits |

February 23
10:30 AM PHSC 1105 |
Jonny Comes
| Jellyfish partition categories |

March 3
3:30 PM PHSC 1105 |
Gordon Brown
University of Oklahoma | How to polytopify Specht modules |

March 10
3:30 PM PHSC 1105 |
Jieru Zhu
University of Oklahoma | Presenting cyclotomic Schur algebras |

March 24
3:30 PM PHSC 1105 |
Jordan Wiebe
University of Oklahoma | Arithmetic in Quaternion Algebras |

April 14
3:30 PM PHSC 1105 |
Devin Mitchell
University of Oklahoma | Buildings and Groups |

April 28
11:30am PHSC 1105 |
Claus Sorensen
University of California, San Diego | Insensitivity of deformation rings under parabolic induction |

## Fall 2016

September 9
3:30 PM PHSC 1105 |
Ralf Schmidt
University of Oklahoma | Pullbacks of Eisenstein series |

September 16
3:30 PM PHSC 1105 |
Nick Davidson
University of Oklahoma | Lie algebras acting on categories |

September 23
3:30 PM PHSC 1105 |
Nick Davidson
University of Oklahoma | Lie algebras acting on Categories (part 2) |

September 30
3:30 PM PHSC 1105 |
Gordon Brown
University of Oklahoma | A Survey of Heisenberg Categorification |

October 14
3:30 PM PHSC 1105 |
Kimball Martin
University of Oklahoma | Group characters and refined local-global principles |

October 21
3:30 PM PHSC 1105 |
Martin Szyld
University of Buenos Aires | On flat functors |

October 28
3:30 PM PHSC 1105 |
Thomas Morgan
University of Oklahoma | Linear Representations of Automorphisms of Free Groups |

November 4
3:30 PM PHSC 1105 |
Rob Muth
Tarleton State University | Affine zigzag algebras and imaginary strata for KLR algebras |

November 11
3:30 PM PHSC 1105 |
Cass Sherman
Oklahoma State University | Weight Stretching in Littlewood-Richardson Coefficients |

## Spring 2016

February 5
3:30 PM PHSC 1105 |
Ralf Schmidt
University of Oklahoma | Packet structure and paramodular forms |

February 19
3:30 PM PHSC 1105 |
Tomasz Przebinda
University of Oklahoma | The character and the wave front set correspondence in the stable range |

February 26
3:30 PM PHSC 1105 |
Tomasz Przebinda
University of Oklahoma | The character and the wave front set correspondence in the stable range (Part 2). |

March 11
3:30 PM PHSC 1105 |
Ben Tharp
University of Oklahoma | The marked Brauer algebra |

March 25
3:30 PM PHSC 1105 |
Long Tran
University of Oklahoma | L-functions for non-generic representations of GSp(4) |

April 1
3:30 PM PHSC 1105 |
Visu Makam
University of Michigan | Polynomial degree bounds for matrix semi-invariants |

April 15
3:30 PM PHSC 1105 |
Alok Shukla
University of Oklahoma | On Klingen Eisenstein series with level |

April 22
3:30 PM PHSC 1105 |
Jordan Wiebe
University of Oklahoma | Computing Modular Forms |

April 29
3:30 PM PHSC 1105 |
Ameya Pitale
University of Oklahoma | Restriction of modular forms |

May 6
3:30 PM PHSC 1105 |
Manami Roy
University of Oklahoma | The principle of functoriality |

## Fall 2015

September 4
3:30 PM PHSC 1105 |
Murad Ozaydin
University of Oklahoma | Representations of Leavitt Path Algebras |

September 11
3:30 PM PHSC 1105 |
Murad Ozaydin
University of Oklahoma | Representations of Leavitt Path Algebras II |

September 18
3:30 PM PHSC 1105 |
Tomasz Przebinda
University of Oklahoma | Gelfand-Kirillov dimension of a unitarizable highest weight representation of a classical Lie algebra |

October 2
3:30 PM PHSC 1105 |
Tomasz Przebinda
University of Oklahoma | Irreducible unitary representations of some Lie supergroups |

October 16
3:30 PM PHSC 1105 |
Gil Moss
OSU | Gamma factors and the local Langlands conjecture in families |

October 23
3:30 PM PHSC 1105 |
Jonny Comes
College of Idaho | Ideals in Deligne categories and representations of supergroups |

November 6
3:30 PM PHSC 1105 |
Daniele Rosso
UC Riverside | Mirabolic quantum sl_2 |

December 4
3:30 PM PHSC 1105 |
Sandeep Repaka
University of Oklahoma | An Introduction to Harish-Chandra Induction |

## Spring 2015

January 16
1:30 PM PHSC 1105 |
Joseph A. Wolf
University of California, Berkeley | Geometry and Analysis on Nilpotent Lie Groups |

January 23
3:30 PM PHSC 1105 |
Rodney Keaton
University of Oklahoma | Galois representations and Serre's conjecture |

February 6
3:30 PM PHSC 1105 |
Rodney Keaton
University of Oklahoma | Galois representations and Serre's conjecture, Part 2 |

February 13
3:30 PM PHSC 1105 |
Rodney Keaton
University of Oklahoma | Galois representations and Serre's conjecture, Part 3 |

February 27
3:30 PM PHSC 1105 |
Jan Mollers
Ohio State | Intertwining operators for branching problems and applications |

March 6
3:30 PM PHSC 809 |
Siddhesh Wagh
University of Oklahoma | Weyl's converse theorem and an application |

March 13
11:00 AM PHSC 1105 |
Peter Sarnak
Princeton University | The Solovay Kitaev Theorem revisited |

April 3
3:30 PM PHSC 1105 |
Shaoyun Yi
University of Oklahoma | Dimensions of spaces of Parahoric-invariant vectors for Iwahoric-spherical representations of Gsp(4) |

April 10
3:30 PM PHSC 1105 |
Colin VerNooy
University of Oklahoma | Discrete Series Representations of Sp(4,R) |

April 13
11:30 AM PHSC 1105 |
Benedict Gross
Harvard University | Pencils of Quadrics |

April 17
3:30 PM PHSC 1105 |
Gordon Brown
University of Oklahoma | The Okounkov-Vershik Approach to the Representation Theory of the Symmetric Groups |

April 24
3:30 PM PHSC 1105 |
Kannan Soundararajan
Stanford University | Moments and distribution of L-values. |

## Fall 2014

August 22
3:30 PM PHSC 1105 |
Ralf Schmidt
University of Oklahoma | Nearly holomorphic modular forms |

August 29
3:30 PM PHSC 1105 |
Christian Remling
University of Oklahoma | Gentzen's consistency proof of Peano arithmetic I |

September 5
3:30 PM PHSC 1105 |
Christian Remling
University of Oklahoma | Gentzen's consistency proof of Peano arithmetic II |

September 12
3:30 PM PHSC 1105 |
Jonathan Kujawa
University of Oklahoma | Geometric Schur-Weyl Duality |

September 19
3:30 PM PHSC 1105 |
Christian Remling
University of Oklahoma | Gentzen's consistency proof of Peano arithmetic III |

September 23
5:00 PM PHSC 1105 |
Benjamin Harris
Oklahoma State University | On the Asymptotics of Plancherel Formulas for Reductive Homogeneous Spaces |

September 26
3:30 PM PHSC 1105 |
Abhishek Saha
University of Bristol | Local Whittaker functions and sup-norms of newforms |

October 3
3:30 PM PHSC 1105 |
Dermot McCarthy
Texas Tech | Hypergeometric Functions and Modular Forms |

October 24
3:30 PM PHSC 1105 |
Christina Durfee
University of Oklahoma | Distinguishing graphs by their Ihara zeta function |

October 31
3:30 PM PHSC 1105 |
Alok Shukla
University of Oklahoma | Automorphic Representations and Eisenstein Series |

November 7
3:30 PM PHSC 1105 |
Long Tran
University of Oklahoma | Bessel Models |

November 14
3:30 PM PHSC 1105 |
Jieru Zhu
University of Oklahoma | Schur algebras of type A and BC |

December 5
3:30 PM PHSC 1105 |
Ed Richmond
Oklahoma State University | Fiber bundles and Schubert varieties |

## Spring 2014

January 24
3:30 PM PHSC 1105 |
Loren Spice
Texas Christian University | Stability and endoscopic transfer for toral supercuspidal representations |

January 31
3:30 PM PHSC 1105 |
Salam Turki
University of Oklahoma | Elliptic Curves and the Local Langlands Correspondence |

February 7
3:30 PM PHSC 1105 |
Salam Turki
University of Oklahoma | Complex representations associated to Elliptic curves |

February 14
3:30 PM PHSC 1105 |
Ralf Schmidt
University of Oklahoma | Harmonic weak Maass forms and representations |

February 21
3:30 PM PHSC 1105 |
Benjiman Tharp
University of Oklahoma | The Brauer Algebra and the Fundamental Theorems of Invariant Theory for O(V) |

February 28
3:30 PM PHSC 1105 |
Christian Remling
University of Oklahoma | Foundations 1: From Kant to Hilbert |

February 28
3:30 PM PHSC 1105 |
Christian Remling
University of Oklahoma | Foundations 1: From Kant to Hilbert |

March 14
3:30 PM PHSC 1105 |
Jon Kujawa
University of Oklahoma | Reconstruction |

March 28
3:30 PM PHSC 1105 |
Tomasz Przebinda
University of Oklahoma | Weyl calculus and dual pairs |

April 11
3:30 PM PHSC 1105 |
Luis Lomelí
University of Oklahoma | Twisted exterior and symmetric square L-functions and root numbers with applications |

April 18
3:30 PM PHSC 1105 |
Luis Lomelí
University of Oklahoma | The Langlands-Shahidi method over function fields and applications |

April 25
3:30 PM PHSC 1105 |
Christian Remling
University of Oklahoma | Godel 2, Lob's Theorem, and Fraenkelstein's monster |

May 2
3:30 PM PHSC 809 |
Radhika Ganapathy
University of British Columbia | On the Langlands-Shahidi method over close local fields and applications |

## Fall 2013

August 23
3:30 PM PHSC 1105 |
Jeff Meyer
University of Oklahoma | Arithmetic Groups |

August 30
3:30 PM PHSC 1105 |
Kimball Martin
University of Oklahoma | Functoriality and distinction |

September 6
3:30 PM PHSC 1105 |
Carlos de la Mora
Purdue University | Canonical Disintegration of L^2(H\G) and Automorphic Representations |

September 13
3:30 PM PHSC 1105 |
Jeff Meyer
University of Oklahoma | Arithmetic Groups II - Weak Commensurability, Eigenvalue Rigidity, Isotorality, and Generalizations |

September 27
3:30 PM PHSC 1105 |
Murad Özaydin
University of Oklahoma | Invariant Basis Number, Nonstable K-Theory and the Leavitt Path Algebras |

October 4
3:30 PM PHSC 1105 |
Murad Özaydin
University of Oklahoma | Invariant Basis Number, Nonstable K-Theory and the Leavitt Path Algebras (Continued) |

October 17
4:00 PM PHSC 1105 |
Luis Lomelí
University of Oklahoma | The Langlands-Shahidi method for the classical groups over function fields and the Riemann Hypothesis |

October 25
3:30 PM PHSC 1105 |
Angela Pasquale
Institut Élie Cartan de Lorraine | The bounded hypergeometric functions associated with root systems |

November 8
3:30 PM PHSC 1105 |
Kwangho Choiy
Oklahoma State University | Behavior of R-groups on L-packets and between inner forms |

November 22
3:30 PM PHSC 1105 |
Ralf Schmidt
University of Oklahoma | Harmonic weak Maass forms and representations |

December 6
3:30 PM PHSC 1105 |
Raul Gomez
Cornell University | Theta-lifting of generalized Whittaker models associated to nilpotent orbits. |

## Spring 2013

January 18
3:30 PM PHSC 1105 |
Ameya Pitale
University of Oklahoma | Quantum Unique Ergodicity |

February 1
3:30 PM PHSC 1105 |
Charles Samuels
Oklahoma City University | The number of exceptional points in the metric Mahler measures |

February 8
3:30 PM PHSC 1105 |
Kimball Martin
University of Oklahoma | How often should you clean your room: an impractical guide |

February 15
3:30 PM PHSC 1105 |
Ameya Pitale
University of Oklahoma | Waldspurger models for representations of GL(2) |

February 15
3:30 PM PHSC 1105 |
Luis Lomeli
University of Oklahoma | On the Ramanujan Conjecture |

February 22
3:30 PM PHSC 1105 |
Luis Lomeli
University of Oklahoma | On the Ramanujan Conjecture |

March 1
4:00 PM PHSC 1105 |
Aaron Lauve
Loyola University, Chicago | Convolution powers of the Identity in Combinatorial Hopf algebras |

March 8
3:30 PM PHSC 1105 |
Roi Docampo
Universidade Federal Fluminense | Singularities in birational geometry and multiplier ideals |

March 15
3:30 PM PHSC 1105 |
Garrett Alston
Kansas State University | Mirror Symmetry for Elliptic Curves |

March 29
3:30 PM PHSC 1105 |
Ralf Schmidt
University of Oklahoma | Lowest Weight Vectors |

April 5
3:30 PM PHSC 1105 |
Sean Paul
University of Wisconsin | K-Energy lower bounds and Constructible sets |

April 12
3:30 PM PHSC 1105 |
Moshe Adrian
University of Utah | Rectifiers and the local Langlands correspondence |

## Fall 2012

August 24
3:30 PM PHSC 1105 |
Matt Bennett
UC Riverside | Tilting Modules for the Current Algebra |

August 31
3:30 PM PHSC 1105 |
Tomasz Przebinda
University of Oklahoma | A reverse engineering approach to Weil Representation over a finite field of odd characteristic |

September 7
3:30 PM PHSC 1105 |
Luis Lomeli
University of Oklahoma | Local-to-global extensions in positive characteristic |

September 14
3:30 PM PHSC 1105 |
Murad Ozaydin
University of Oklahoma | The Linear Diophantine Frobenius Problem |

September 21
3:30 PM PHSC 1105 |
Murad Ozaydin
University of Oklahoma | The Linear Diophantine Frobenius Problem - II |

October 19
3:30 PM PHSC 1105 |
Muge Kanuni
Bogazici University | An approach to calculating the global dimensions of some Artinian algebras |

October 26
3:30 PM PHSC 1105 |
Christina Durfee
University of Oklahoma | Groups with a character of large degree relative to a normal subgroup |

November 2
3:30 PM PHSC 1105 |
Jon Kujawa
University of Oklahoma | New Trace Functions |

November 9
3:30 PM PHSC 1105 |
Ralf Schmidt
University of Oklahoma | Modular form of half-integral weight and representations of the metaplectic group |