报告人:周宇 博士生导师 (清华大学)
报告题目:Calabi-Yau-X categories of graded gentle algebras
报告摘要: We give a topological model for the finite dimensional derived category
of the Calabi-Yau-X completion of a graded gentle algebra, via a graded decorated
marked surface. We show a bijection between double graded closed arcs on the
surface and X-spherical objects in the category, and an equality between double
graded intersections between arcs and dimensions of double graded Homs between
the corresponding objects. As an application, we obtain a topological realization of
the Lagrangian immersion of the derived category of a graded gentle algebra.
报告时间:2020.12.16(周三) 上午9:00-10:00
腾讯会议ID:182646525
报告人简介:周宇,清华大学丘成桐数学中心副研究员、博士生导师。在清华大学获得学士、硕士、博士学位,先后访问德国比勒菲尔德大学、在挪威科技大学从事博士后研究。长期从事丛代数、从范畴和代数表示论方面的研究,目前在《Advance in Mathematics》、《Compositio Mathematica》、《Journal of London Mathematical Society》、《Journal of Algebra》等国际著名期刊发表论文10余篇。