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.

How do imperfections cause asymmetry in elastic snap-through?
 Giudici, A Huang, W Wang, Q Wang, Y Liu, M Tawfick, S Vella, D (21 Nov 2024) http://arxiv.org/abs/2411.13971v1
Causal transport on path space
 Cont, R Lim, F (03 Dec 2024)
Convergence of Boundary Layers of Chemotaxis Models with Physical Boundary Conditions I: Degenerate Initial Data
 Carrillo, J Hong, G Wang, Z SIAM Journal on Mathematical Analysis volume 56 issue 6 7576-7643 (31 Dec 2024)
Sparse Probabilistic Synthesis of Quantum Operations
 Koczor, B PRX Quantum
Quantum information processing, sensing, and communications: their
myths, realities, and futures
 Hanzo, L Babar, Z Cai, Z Chandra, D Djordjevic, I Koczor, B Xin Ng, S Razavi, M Simone, O Proceedings of the IEEE (06 Jan 2025)
Tue, 11 Mar 2025
15:00
L6

Profinite rigidity of group extensions

Paweł Piwek
Abstract

Profinite rigidity explores the extent to which non-isomorphic groups can be distinguished by their finite quotients. Many interesting examples of this phenomenon arise in the context of group extensions—short exact sequences of groups with a fixed kernel and quotient. This talk will outline two main mechanisms that govern profinite rigidity in this setting and provide concrete examples of families of extensions that cannot be distinguished by their finite quotients.

The talk is based on my DPhil thesis.

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