Speaker: Xin Li (University of Glasgow)
Host: Huaxin Lin, Jianchao Wu, Xiaolei Wu, Ruxi Shi
Abstract: Topological groupoids describe orbit structures of dynamical systems by capturing their local symmetries, and build a bridge between topological dynamics and C*-algebra theory. The group of global symmetries, which are pieced together from local ones, is called the topological full group. This construction gives rise to new examples of groups with very interesting properties, solving outstanding open problems in group theory. This series is about a new connection, in the context of homological invariants, between groupoids and topological full groups on the one hand and algebraic K-theory spectra and infinite loop spaces on the other hand. Several applications will be discussed. Parts of this connection already feature in work of Szymik and Wahl on the homology of Higman-Thompson groups.
My plan is to first give an introduction to groupoids and their topological full groups, and then focus on homological invariants.
Time: April 21st -23rd, 15:00-17:30 (with a tea break each day)
Location: Room 102 (April 21st -22nd) & Room 542 (April 23r), SCMS
Zoom ID: 646 617 8889 (Passcode: 123456wu)
About the speaker: Xin Li is a professor at the University of Glasgow as the Chair of Mathematical Analysis. His research interests include operator algebras, topological dynamics and group theory. He has published multiple papers in prestigious journals such as Invent. Math., J. Eur. Math. Soc., Amer. J. Math., Math. Ann., Comm. Math. Phys. and Adv. Math.
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