09-20【Alessandro Giacchetto】五教5501 吴文俊数学重点实验室数学物理系列报告之2024-19

时间:2024-09-18

题目:Resurgence and large genus asymptotics of intersection numbers


报告人:Alessandro Giacchetto (ETH Zurich)


时间:2024年9月20日(周五)下午14:30-16:00


地点:东区第五教学楼5501教室


摘要:In this talk, I will present a new approach to the computation of the large genus asymptotics of Witten–Kontsevich intersection numbers. Our technique is based on a resurgent analysis of the n-point function of such intersection numbers, which are computed via determinantal formulae, and relies heavily on the presence of an underlying first order differential system. With this approach, we are able to extend the recent results of Aggarwal with the computation of subleading corrections as conjectured by Guo-Yang, and to obtain completely new results on r-spin and Theta-class intersection numbers. Based on the joint work with B. Eynard, E. Garcia-Failde, P. Gregori, D. Lewański.