Date: Monday, February 14, 2022
Location: 4088 East Hall (3:00 PM to 4:00 PM)
Title: Motivic action conjectures
Abstract: A surprising property of the cohomology of locally symmetric spaces is that Hecke operators can act on multiple cohomological degrees with the same eigenvalues. A recent series of conjectures proposes an arithmetic explanation: a hidden degree-shifting action of a certain motivic cohomology group. We will give an overview of the conjectures of Venkatesh, Prasanna, and Harris, and discuss our own conjecture for Hilbert modular forms of parallel weight one.
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Speaker: Aleksander Horawa
Institution: University of Michigan
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