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.