Neural Q-learning for solving PDEs
Cohen, S
Jiang, D
Sirignano, J
Journal of Machine Learning Research
volume 24
issue 236
1−49
(19 Jun 2023)
Scaling in Stock Market Data: Stable Laws and Beyond
Cont, R
Potters, M
Bouchaud, J
Scale Invariance and Beyond
75-85
(1997)
In many modern applications, a key bottleneck is the solution of a matrix problem of the form Ax=b where A is a large matrix. In numerical weather prediction, such systems arise as a sub-problem within data assimilation algorithms. In this setting, finding the most likely initial condition with which to initialise a forecast is equivalent to finding the (approximate) solution x.
Structured Networks and Coarse‐Grained Descriptions
Schaub, M
Delvenne, J
Lambiotte, R
Barahona, M
Advances in Network Clustering and Blockmodeling
333-361
(23 Nov 2019)
Different Approaches to Community Detection
Rosvall, M
Delvenne, J
Schaub, M
Lambiotte, R
Advances in Network Clustering and Blockmodeling
105-119
(23 Nov 2019)
Chains of Large Gaps Between Primes
Ford, K
Maynard, J
Tao, T
Irregularities in the Distribution of Prime Numbers
1-21
(05 Jul 2018)
Sums of Two Squares in Short Intervals
Maynard, J
Analytic Number Theory
253-273
(2015)
The étale-open topology and the stable fields conjecture
Johnson, W
Tran, C
Walsberg, E
Ye, J
Journal of the European Mathematical Society
volume 26
issue 10
4033-4070
(14 Jun 2023)
Tue, 10 Oct 2023
13:00
13:00
L1
Generalized Symmetries in Argyres-Douglas Theories
Alessandro Mininno
(DESY)
Abstract
In this talk, I will discuss the dynamical consequences of having 1-form, 2-group and non-invertible symmetries in Argyres-Douglas (AD) theories.
I will first review how to construct (G,G') and D_p(G) theories from geometric engineering. Then, I will briefly introduce how 1-form symmetries are found in these AD theories, focusing on their dynamical consequences in the study of the Higgs branch for such theories. Analogously, I will show how certain D_p(G) theories enjoy a 2-group structure due to a non-trivial extension between a discrete 1-form symmetry and a continuous 0-form symmetry, emphasizing the dynamical consequences that a 2-group structure entails, and the family of AD theories that have it. This analysis allowed us to "bootstrap" families of D_p(G) theories sharing the same properties. Finally, I discuss the presence of non-invertible symmetries in AD theories obtained by gauging the flavor symmetry of multiple D_p(SU(N)) theories.
I will first review how to construct (G,G') and D_p(G) theories from geometric engineering. Then, I will briefly introduce how 1-form symmetries are found in these AD theories, focusing on their dynamical consequences in the study of the Higgs branch for such theories. Analogously, I will show how certain D_p(G) theories enjoy a 2-group structure due to a non-trivial extension between a discrete 1-form symmetry and a continuous 0-form symmetry, emphasizing the dynamical consequences that a 2-group structure entails, and the family of AD theories that have it. This analysis allowed us to "bootstrap" families of D_p(G) theories sharing the same properties. Finally, I discuss the presence of non-invertible symmetries in AD theories obtained by gauging the flavor symmetry of multiple D_p(SU(N)) theories.
My results are based on arXiv:2203.16550 [hep-th], arXiv:2208.11130 [hep-th] and arXiv:2303.16216 [hep-th].