Index theory and NCG of topological insulators

GAP Seminar

Meeting Details

For more information about this meeting, contact Amy Hanley, Ping Xu, Eyal Subag, Nigel Higson, Mathieu Stiénon.

Speaker: Dan Li, Purdue University

Abstract: After giving some background, I will explain the index theory and K-theory of topological insulators. Because of time reversal symmetry, topological insulators are characterized by a Z/2-valued invariant. This topological Z/2 invariant can be understood as a mod 2 index theorem, which can be also obtained as an index pairing between KR-homology and KR-theory. If time permits, I will give a generalization of this story in noncommutative geometry (NCG).

Room Reservation Information

Room Number: 104 Osmond Building

Date: 01/10/2017

Time: 2:35pm - 3:30pm