Stability in Topology, Arithmetic, and Representation Theory 2020

Online — replacing a Special Session at the canceled AMS Spring Central Sectional Meeting at Purdue University

Purdue University Liberal Arts fountain

General Information

This conference was planned as a Special Session at the AMS Spring Central Sectional Meeting at Purdue University. The Section Meeting was canceled. We decided to ask our speakers to record their talks. Find the results below.

Problem Session

During a Zoom session with the speakers, we collected open problems. The result is the following list of problems.

[Problem List]

Talks

45-min Talks

[Video]
[Slides]
[Abstract]
Andrew Snowden (University of Michigan)

Two tales from equivariant commutative algebra.
[Video]
[Notes]
[Abstract]
Bena Tshishiku (Brown University)

Geometric cycles and characteristic classes.
[Video]
[Notes]
[Abstract]
Craig Westerland (University of Minnesota)

Second order terms in arithmetic statistics.
[Video]
[Notes]
[Abstract]
Jennifer Wilson (University of Michigan)

The high-degree cohomology of the special linear group.

20-min Talks

[Video]
[Notes]
[Abstract]
Calista Bernard (Stanford University)

Twisted Dyer-Lashof operations.
[Video]
[Notes]
[Abstract]
Lei Chen (California Institute of Technology)

Some algebraic properties of the power subgroup of mapping class groups.
[Video]
[Notes]
[Abstract]
Sema Güntürkün (Amherst College)

The Representation theory of the increasing monoid.
[Video]
[Slides]
[Abstract]
Zachery Himes (Purdue University)

Secondary stability and periodicity for unordered configuration spaces.
[Video]
[Slides]
[Abstract]
Aaron Landesman (Stanford University)

The geometric average size of Selmer groups over function fields.
[Video]
[Notes]
[Abstract]
Eric Ramos (University of Oregon)

The categorified graph minor theorem and graph configuration spaces.
[Video]
[Notes]
[Abstract]
Daniel Ramras (Indiana University-Purdue University Indianapolis)

Homological stability for spaces of representations.

Organized by

Jeremy Miller (Purdue University), Peter Patzt (Purdue University), and Andrew Putman (University of Notre Dame)