ngsPETSc: A coupling between NETGEN/NGSolve and PETSc
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On the hidden layer-to-layer topology of the representations of reality realised within neural networks
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ntations of reality realised within neural networks
 GRINDROD, P Gafvert, O Desmond, H Catherine, H YIM, K HARRINGTON, H Engineering Computations
Tue, 18 Feb 2025
15:30
L4

Invariance of elliptic genus under wall-crossing

Henry Liu
(IPMU Tokyo)
Abstract

Elliptic genus, and its various generalizations, is one of the simplest numerical invariants of a scheme that one can consider in elliptic cohomology. I will present a topological condition which implies that elliptic genus is invariant under wall-crossing. It is related to Krichever-Höhn’s elliptic rigidity. Many applications are possible: to GIT quotients, moduli of sheaves, Donaldson-Thomas invariants, etc.

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