Ramesh Sreekantan, ISI Bangalore

Description
Speaker: Ramesh Sreekantan, ISI Bangalore

Time: Monday 21st September 4 to 5pm (joining time 3.50pm)

Google Meet Link: https://meet.google.com/qvo-kduy-yco

Title: Algebraic Cycles and Modular Forms

Abstract: There are many instances when special sub-varieties of Shimura
varieties give rise to modular forms. One such is the theorem of Gross and
Zagier linking Heegner divisors with coefficients of modular forms. We
discuss a generalisation of this theorem to higher codimensional cycles
which implies the existence of certain motivic cycles in the universal
families over these Shimura varieties. In special cases we construct some
examples which have applications to another conjecture of Gross and Zagier
on algebraicity of values of Greens functions.
Date
Mon, September 21, 2020
Start Time
4:00pm-5:00pm IST
Duration
1 hour
Priority
5-Medium
Access
Public
Created by
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Updated
Sun, September 20, 2020 2:23pm IST