summer 2018
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Research interests:arithmetic geometry, number theory, algebraic topology, algebraic K-theory |
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Jolanta Marzec (Uniwersytet Kazimierza Wielkiego w Bydgoszczy)
08.06.2022 14:00, B1-37
Title: Some evidence towards Resnikoff-Saldana conjecture
Abstract:
The Resnikoff-Saldana conjecture proposes a bound for Fourier coefficients of Siegel modular forms of any degree n. In the case of degree n=1 it is known as (proven) Ramanujan-Petersson conjecture. When n>1 the conjecture is still far from being resolved. However, we are able to provide some evidence when n=2. In order to do this we will describe properties of automorphic representations associated with the considered Siegel modular forms.