Mon, September 21, 2020
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4:00pm [4:00pm] Ramesh Sreekantan, ISI Bangalore
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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.
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