Structural identifiability of linear-in-parameter parabolic PDEs through auxiliary elliptic operators
 Salmaniw, Y Browning, A (26 Nov 2024) https://arxiv.org/abs/2411.17553v2
ngsPETSc: a coupling between NETGEN/NGSolve and PETSc
 Betteridge, J Farrell, P Hochsteger, M Lackner, C Schöberl, J Zampini, S Zerbinati, U Journal of Open Source Software volume 9 issue 104 (09 Dec 2024) doi:10.21105/joss.07359
Minimality of Vortex Solutions to Ginzburg–Landau Type Systems for Gradient Fields in the Unit Ball in Dimension N ≥ 4
 Ignat, R Nahon, M Nguyen, L Archive for Rational Mechanics and Analysis volume 249 issue 1 (24 Jan 2025) doi:10.1007/s00205-025-02082-3
On the hidden layer-to-layer topology of the representations of reality realised within neural networks
 Gafvert, O Grindrod, P Harrington, H Higham, C Desmond, H Yim, K Engineering Computations volume 43 issue 7 2626-2634 (17 Jan 2025) doi:10.1108/EC-06-2024-0508
ntations of reality realised within neural networks
 GRINDROD, P Gafvert, O Desmond, H Catherine, H YIM, K HARRINGTON, H Engineering Computations
Models of buoyancy-driven dykes using continuum plasticity and fracture mechanics: a comparison
 Li, Y Davis, T Pusok, A Katz, R Geoscientific Model Development volume 18 issue 18 6219-6238 (23 Sep 2025) doi:10.5194/gmd-18-6219-2025
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.

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) doi:10.1137/24m1628426
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