Department of

# Mathematics

Seminar Calendar
for events the day of Monday, January 22, 2018.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    December 2017           January 2018          February 2018
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2       1  2  3  4  5  6                1  2  3
3  4  5  6  7  8  9    7  8  9 10 11 12 13    4  5  6  7  8  9 10
10 11 12 13 14 15 16   14 15 16 17 18 19 20   11 12 13 14 15 16 17
17 18 19 20 21 22 23   21 22 23 24 25 26 27   18 19 20 21 22 23 24
24 25 26 27 28 29 30   28 29 30 31            25 26 27 28
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Monday, January 22, 2018

2:00 pm in 345 Altgeld Hall,Monday, January 22, 2018

#### Segal's Infinite Loop Space Machine

###### Brian Shin (UIUC Math)

Abstract: Infinite loop spaces arise as the spaces underlying connective spectra. The construction and analysis of such spaces has been an important part of homotopy theory. In this talk I will introduce Segal's infinite loop space machine, a device used to construct infinite loop spaces from algebraic data. Using this machine, I will prove a theorem of Barratt-Priddy-Quillen. Finally, I will indicate how these ideas are being put to use in motivic homotopy theory.

4:00 pm in 245 Altgeld Hall,Monday, January 22, 2018

#### Organizational Meeting

Abstract: We will have a brief meeting about the semester plans for Math 499.

5:00 pm in Altgeld Hall 241,Monday, January 22, 2018

#### organization meeting

###### Marius Junge (UIUC)

Abstract: We are collecting talks on L_2-Betti numbers and special topics on type III von Neumann algebras