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Applying machine learning to algebraic topology: generating simplicial cycles

组织者

沙伊莱什·拉尔 , 哈米德·莫菲迪 , 侯赛因·亚瓦尔塔努

演讲者

Fedor Pavutnitskiy

时间

2023年11月28日 10:00 至 11:30

地点

A3-1a-205

线上

Zoom 537 192 5549 (BIMSA)

摘要

We will discuss the philosophy of using generative models as sources of examples and counterexamples in contemporary algebra and homotopy theory. As an example of such application, we will look at the simplicial group setting of Wu’s formula, in which we reformulate a problem of generating simplicial cycles as a problem of sampling from the intersection of algorithmic datasets related to Dyck languages. A number of other possible directions and open problems will be dicussed. Based on the joint work with K. Brilliantov, D. Pasechnyuk, G. Magai.

演讲者介绍

Fedor Pavutnitskiy主要研究单纯同伦论及其在path homology中的应用，以及与群和李代数相关的同调代数，同时对机器学习在现代数学中的应用感兴趣。