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Examining Traces and Residues

MSRI / SLMath 40th Anniversary Symposium April 13, 2023 - April 14, 2023

April 14, 2023 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Andrei Okounkov (Columbia University; University of California, Berkeley)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

Examining Traces And Residues


Residue calculus is, of course, a very powerful way to evaluate many different kinds of integrals. For multivariate integrals, however, it may get really cumbersome, to the point that one sometimes hits a complexity overflow. I will discuss some ideas that have recently been used with some success to circumvent such problems. Of course, they are much more specialized than residue calculus and apply in only very special situations. Still, these situations are not without interest in concrete applications, including solutions of q-difference equations and some questions in analysis of automorphic forms.

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Examining Traces And Residues

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