Towards Functional Patient-Derived Organoids As Models For Soft-tissue Joint Disease
Dvorak, N Johnson, P Ackerman, J DAKIN, S
Tue, 21 May 2024

14:00 - 15:00
L5

Spin link homology and webs in type B

Elijah Bodish
(MIT)
Abstract

In their study of GL(N)-GL(m) Howe duality, Cautis-Kamnitzer-Morrison observed that the GL(N) Reshetikhin-Turaev link invariant can be computed in terms of quantum gl(m). This idea inspired Cautis and Lauda-Queffelec-Rose to give a construction of GL(N) link homology in terms of Khovanov-Lauda's categorified quantum gl(m). There is a Spin(2n+1)-Spin(m) Howe duality, and a quantum analogue that was first studied by Wenzl. In the first half of the talk, I will explain how to use this duality to compute the Spin(2n+1) link polynomial, and present calculations which suggest that the Spin(2n+1) link invariant is obtained from the GL(2n) link invariant by folding. In the second part of the talk, I will introduce the parallel categorified constructions and explain how to use them to define Spin(2n+1) link homology.

This is based on joint work in progress with Ben Elias and David Rose.

Measuring lung inhomogeneity in early chronic lung disease
Robbins, P Mountain, J O'Neill, D Ciaffoni, L Couper, J Whiteley, J Hancock, G Ritchie, G pa2265 (08 Sep 2016)
Joint moments of higher order derivatives of CUE characteristic polynomials I: asymptotic formulae
Keating, J Wei, F International Mathematics Research Notices volume 2024 issue 12 9607-9632 (04 Apr 2024)
The inefficiency of re-weighted sampling and the curse of system size in high order path integration
Ceriotti, M Brain, G Riordan, O Manolopoulos, D (10 Jul 2011)
Pattern formation in colloidal explosions
Straube, A Louis, A Baumgartl, J Bechinger, C Dullens, R (10 Sep 2010)
Zigzag transitions and nonequilibrium pattern formation in colloidal chains
Straube, A Dullens, R Schimansky-Geier, L Louis, A (13 Sep 2013)
Tue, 23 Apr 2024
13:00
L2

What's done cannot be undone: non-invertible symmetries

Shu-Heng Shao
(Stony Brook University)
Abstract

In massless QED, we find that the classical U(1) chiral symmetry is not completely broken by the Adler-Bell-Jackiw anomaly. Rather, it is resurrected as a generalized global symmetry labeled by the rational numbers. Intuitively, this new global symmetry in QED is a composition of the naive axial rotation and a fractional quantum Hall state. The conserved symmetry operators do not obey a group multiplication law, but a non-invertible fusion algebra. We further generalize our construction to QCD, and show that the neutral pion decay can be derived from a matching condition of the non-invertible global symmetry.

Projection estimators for autoregressive panel data models
Bond, S Windmeijer, F Econometrics Journal volume 5 issue 2 457-479 (01 Dec 2002)
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