基础数学系学术报告
题目: Reduction mod p proofs of some theorems in linear algebraic groups
报告人:许金兴 (中国科学技术大学)
报告时间:2020年12月31日10:30-11:30
报告地点:(腾讯会议ID:598 770 319)
摘要:Many algebraic geometry statements involve only finitely many data, and hence their proofs can be reduced to problems over finite fields. I will show how to use this well-known technique to get new proofs of some fundamental results in linear algebraic groups, including: structure of unipotent groups, Jordan decomposition, and the connectedness of the normalizer of a Borel subgroup. This is a joint work with Xiaopeng Xia.
报告人简介:许金兴,中国科学技术大学副教授,2011年在北京大学获得博士学位,导师是田刚院士。研究方向为代数几何,在Calabi-Yau簇的模空间以及p进制代数簇的上同调群等问题上得到了一批原创性成果;在Adv.Math., Int. Math. Res. Not.等学术期刊上发表论文多篇。
邀请人:沈良明