Tuesday, October 31, 2023
Time | Items |
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All day |
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3pm |
10/31/2023 - 3:00pm Abstract: Borel--Laplace summation is a classical summability method that associates an analytic function to a divergent power series. Divergent power series often appear in mathematics and physics: solving ODEs with irregular singularities, computing asymptotics, computing perturbative expansions in QFT, in complex Chern--Simons, etc. One special feature of the Borel--Laplace sum is that it works well for integrals over Lefschetz thimbles (thimble integrals). Indeed, the Borel--Laplace sum of the asymptotics of a thimble integral is the thimble integral itself. This is part of a joint project with A. Fenyes. Location:
KT 801
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4pm |
10/31/2023 - 4:00pm We discussed some properties of a family of symmetric spaces, namely SL(n,R)/SO(n,R) =: P(n), where we replace the Riemannian metric on P(n) with a premetric suggested by Selberg. These include intersecting criteria of Selberg's bisectors, the shape of Dirichlet-Selberg domains, and angle-like functions between Selberg's bisectors. These properties are generalizations of properties on the hyperbolic spaces H^n related to Poincaré's fundamental polyhedron theorem. Location:
KT 219
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