Department of

# Mathematics

Seminar Calendar
for events the week of Monday, October 18, 2021.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Thursday, October 21, 2021

11:30 am in via Zoom,Thursday, October 21, 2021

#### Math Department Retirees' Luncheon via Zoom

Abstract: We've changed the venue for the Annual Retirees' Luncheon from Silvercreek to Zoom. Watch your email for more information coming soon! Or email currid@illinois.edu if you have any questions.

Friday, October 22, 2021

4:00 pm in Altgeld Hall 347,Friday, October 22, 2021

#### The Alexander Polynomial, the Alexander Polynomial, and the Twisted Alexander Polynomial

###### Joseph Malionek (UIUC)

Abstract: The Alexander polynomial is a topological invariant of a space coming from a somewhat natural module structure on one of its covers. It was originally developed for knot exteriors, but since has been defined for more general topological spaces. This talk goes through the construction for knot exteriors, and then two levels of generalizations (As well as several examples). Some highlights: Covering spaces! Modules! T W I S T I N G. Knowledge of covering spaces and a very small amount of module theory will be helpful.