报告人: Prof.Mircea Voineagu(东京大学国际高等研究所)
报告题目: Homological invariants for real varieties
报告时间:6月4日(周一),6月5日(周二),6月7日(周四)和6月13日(周三)上午10:30-11:30
报告地点:周一、周二、周三在1218教室,周四在1416教室
摘 要:Motivic cohomology, as defined by Voevodsky, is considered to be the analog of singular homology in the case of algebraic varieties. In the case of complex and real varieties, variants of motivic cohomology were defined by Friedlander and Lawson and are called morphic cohomology (and the homology counterpart is called Lawson homology). In this mini-course, we will cover the latest developments on (reduced) Lawson homology of real varieties as well as the main questions and conjectures in the field. Among the results we cover is an analog of Frieldander-Mazur conjecture for reduced Lawson homology, a proof of Quillen-Lichtenbaum conjecture for real varieties by means of Lawson homology and a negative answer to a conjecture of Teh.
主办单位:
中国科学技术大学数学科学学院
国家数学与交叉科学中心合肥分中心
中科院吴文俊数学重点实验室
欢迎感兴趣的师生参加!