兰州交通大学数理学院学术报告

应兰州交通大学数理学院邀请，西班牙Murcia 大学SERGIO ESTRADA教授与2019年7月5日至7月7日来我院访问讲学，同时于7月6日下午4:30-5:30做学术报告，欢迎各位老师和研究生同学参加。

报告人：西班牙Murcia 大学SERGIO ESTRADA教授

题 目：The stable category of Gorenstein flat sheaves on a noetherian scheme

时间：2019年7月6日16:30-17:30

地点：1-128教室

报告摘要：A classical result due to Buchweitz says that the singularity category of a Gorenstein local ring A is equivalent to the homotopy category of totally acyclic complexes of finitely generated projective modules. The latter is also equivalent to the stable category of finitely generated Gorenstein projective modules. This second equivalence extends for general noetherian rings and without the finiteness assumption on the modules. In 2011 Murfet and Salarian introduced an optimal non-affine replacement for the homotopy category of totally acyclic complexes of projectives. But the question of the non-affine analogue for the stable category of Gorenstein projective modules remained open. In the talk we will propose and show evidences to justify that the stable category of cotorsion and Gorenstein flat quasi-coherent sheaves is one natural candidate for this. As an application, we give a characterization of Gorenstein schemes by using these sheaves.

This talk is based on a joint work with Lars Winther Christensen and Peder Thompson.

报告人简介：SERGIO ESTRADA DOMINGUEZ, Murcia大学数学系教授。2003年6月在Almería大学获得博士学位。现担任期刊《Hacettepe Journal of Mathematics and Statistics》编委；现为20余种国际SCI期刊审稿人；已在国际知名期刊《Adv. Math》、《Journal of Algebra》、《Comm. in Algebra》、《Proc. Edinb. Math. Soc.》、《J. Pure App. Alg.》、《Proc. Amer. Math. Soc.》、《Algebr. Represent. Theor.》、《J. Lond. Math. Soc.》、《Math. Scand.》、《Glasgow J. Math.》、《Int. J. Math. Math. Sci.》等发表高水平学术论文50余篇。