Jie Gu
BPS spectrum from resurgent topological string abstract
Abstract:
Perturbative series in topological string theory such as those of free energiesare divergent. Their complete description requires non-perturbative correctionswhich are related to the perturbative series by Stokes transformations. Wecalculate these non-perturbative corrections as well as the associated Stokesconstants using resurgence theory and extended holomorphic anomalyequations, based on which we observe and conjecture that the Stokesconstants coincide with the BPS invariants of the underlying type II superstring.We support our conjecture with evidence from models of compact CYs andlocal CYs where very non-trivial BPS invariants could be reproduced, as wellas examples of dual supersymmetric gauge theories, where sometimes theentire BPS spectrum could be generated by monodromy arguments. Wallcrossingof Stokes constants will also be mentioned.
14:00 • Université de Genève, Conseil Général 7-9, Room 1-05
David M. Blei (Columbia University)
A Fresh Look at Empirical Bayes abstract
Abstract:
Empirical Bayes improves simultaneous inference by learning fromrelated data. In this talk, I will present three recent directions inempirical Bayes. First, I will discuss a general method based onprobabilistic symmetries, which extends empirical Bayes beyondexchangeable settings to structured problems such as arrays, graphs,conditional data, and spatial models. Second, I will discuss empiricalBayes for implicit likelihoods, where the model is available onlythrough a simulator, and show how simulation-based inference can beused to produce empirical Bayes estimates without evaluating adensity. Third, I will discuss an empirical Bayes approach tocombining randomized experiments and observational studies, wherecalibration studies make it possible to learn the distribution ofobservational bias and use observational data in a principled way.These three ideas illustrate new roles for empirical Bayes in modernstatistics and machine learning.This is joint work with Diana Cai, Don Green, Sebastian Salazar,Xinwei Shen, Sebastian Wagner-Carena, Eli Weinstein, Bohan Wu, ChengZhang.
16:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room D 1.2
Michel Boileau (Aix–Marseille Université)
A ribbon knot which is not a symmetric union