Ohio State is in the process of revising websites and program materials to accurately reflect compliance with the law. While this work occurs, language referencing protected class status or other activities prohibited by Ohio Senate Bill 1 may still appear in some places. However, all programs and activities are being administered in compliance with federal and state law.

Welcome Seminar - Joseph Migler

photo of Joseph Migler
September 10, 2015
4:30 pm - 5:30 pm
Cockins Hall 240

Title: Determinants in K-theory and operator algebras

Speaker: Joseph Migler (OSU)

Abstract: Given two invertible matrices, their multiplicative commutator, A B A^{-1} B^{-1}, is has determinant 1.  The notion of determinant can be extended to infinite dimensions, but this result no longer holds.  Remarkably, it turns out that this is related to K-theory, which is an analogue for rings of algebraic topology.  This talk will present these ideas and some recent index-type theorems for calculating these determinants.  We will see a number of examples and, time permitting, applications to constant-diagonal matrices and their infinite dimensional versions.  This talk will assume no prior experience with K-theory or functional analysis.

Events Filters:

Seminar - Welcome