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(See past events)


Daniel Spector, National Chiao Tung University in Hsinchu, Taiwan

Friday, January 18 at 4:00pm in Ritter 231 with refreshments beforehand in the Ritter Hall Lobby.

New Directions for Harmonic Analysis on L1

Abstract: Classical work in harmonic analysis has led us to a thorough understanding of the right spaces from the standpoint of singular integral operators, in the most basic setting, Lp spaces and the Hardy space H1. These spaces, in turn, can be used for estimates of integral operators such as the Newtonian and Riesz potentials. Interestingly, in the endpoint p=1 the Hardy space is not necessary to obtain such an estimate, as one can make a weaker assumption and obtain the same strength of conclusion. In this talk we discuss this phenomena, past and present, and give an idea of what might be in its future.


Xiang Tang, Washington University in Saint Louis

Note different day of week! Tuesday, January 29 at 4:10pm in Ritter 202 with refreshments beforehand in the Ritter Hall Lobby.

An Analytic Grothendieck Riemann Roch Theorem

Abstract: In this talk, we will introduce an interesting index problem naturally associated to the Arveson-Douglas conjecture in functional analysis. This index problem is a generalization of the classical Toeplitz index theorem, and connects to many different branches of Mathematics. In particular, it can be viewed as an analytic version of the Grothendieck Riemann Roch theorem. This is joint work with R. Douglas,M. Jabbari, and G. Yu.