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Free Workshop / Seminar

Presented By: RTG Seminar on Geometry, Dynamics and Topology - Department of Mathematics

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Joint Algebraic Geometry & Topology Seminar: Homological vanishing and the Steinberg representation

Andrew Putman (Notre Dame)

Public sculpture in downtown Fort Worth Public sculpture in downtown Fort Worth
Public sculpture in downtown Fort Worth
 Bryan Dickerson on Unsplash
Abstract: The Steinberg representation is an important representation of a reductive group that encodes the combinatorics of its parabolic subgroups. It plays an important role not just in representation theory, but also in number theory and algebraic K-theory. I will discuss some recent joint work with Jeremy Miller and Peter Patzt in which we prove a very general homological vanishing result for the Steinberg representation. I will also explain how this result is connected to various conjectures about the high-dimensional cohomology of arithmetic groups.

Please note: this talk will take place in EAST HALL ROOM 4096, which is not the usual Topology Seminar location.
Public sculpture in downtown Fort Worth Public sculpture in downtown Fort Worth
Public sculpture in downtown Fort Worth
 Bryan Dickerson on Unsplash

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