Seminar Event Detail

Dissertation Defense

Date:  Monday, May 23, 2022
Location:  Hyrbid Format (2:00 PM to 4:00 PM)

Title:  Motivic action on coherent cohomology of Hilbert modular varieties

In person: 3096 East Hall

password: motivic

A surprising property of the cohomology of locally symmetric spaces is that Hecke operators can act on multiple cohomological degrees with the same eigenvalues. We will discuss this phenomenon for the coherent cohomology of line bundles on modular curves and, more generally, Hilbert modular varieties. We propose an arithmetic explanation: a hidden degree-shifting action of a certain motivic cohomology group (the Stark unit group). This extends the conjectures of Venkatesh, Prasanna, and Harris to Hilbert modular varieties.

Alex's advisor is Kartik Prasanna.


Speaker:  Alex Horowa
Institution:  UM

Event Organizer:     


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