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Speaker:
Rodolfo Rios-Zertuche
Affiliation:
Princeton/MPI
Date:
Tue, 21/10/2014 - 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
Representation Theory Seminar I will go over the combinatorics of partitions and symmetric functions and their relation to the representations of the symmetric group. Then I will explain the new point of view developed by Okounkov and Vershik. I will also cover other developments like the half-infinte wedge Fock space representation, and the methods available to deal with asymptotics of representation characters. I will focus especially on those methods inspired in statistical mechanics, such as the existence of limit shapes, and in their treatment using both variational calculus and stationary phase methods. I will also briefly talk about applications to some counting problems in algebraic geometry.
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