Department of

Mathematics


Seminar Calendar
for events the day of Thursday, January 27, 2005.

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Thursday, January 27, 2005

1:00 pm in 347 Altgeld Hall,Thursday, January 27, 2005

On semigroup identities in groups

Sergei Ivanov (UIUC)

Abstract: We will survey known results on semigroup identities and relations in groups and discuss a solution (joint with A.Storozhev) of two problems of G.Bergman on semigroup identities in groups

1:00 pm in 241 Altgeld Hall,Thursday, January 27, 2005

Root numbers of abelian varieties

Maria Sabitova (University of Pennsylvania)

Abstract: We generalize a theorem of D. Rohrlich concerning root numbers of elliptic curves over the field of rational numbers. Our result applies to abelian varieties over number fields. Namely, under certain conditions which naturally extend the conditions used by D. Rohrlich, we show that the root number W(A,\tau) associated to an abelian variety A over a number field F and a complex finite-dimensional irreducible representation \tau of the absolute Galois group of F with real-valued character is equal to 1. In the case where the ground field is Q, we show that our result is consistent with the refined version of the conjecture of Birch and Swinnerton-Dyer.

1:00 pm in 464 Loomis,Thursday, January 27, 2005

Organizational Meeting.

3:00 pm in 243 Altgeld Hall,Thursday, January 27, 2005

Organizational Meetings

4:00 pm in 245 Altgeld Hall,Thursday, January 27, 2005

Endpoint estimates for certain classes of Radon-like operators

Philip Gressman (Princeton University)

Abstract: The goal of this talk is to demonstrate how techniques introduced by Christ (IMRN 1998) can be adapted to prove endpoint restricted weak type estimates for translation-invariant Radon-like operators and "minimally degenerate" operators in low dimensions.