Department of

# Mathematics

Seminar Calendar
for Graduate Student Homotopy Theory Seminar events the year of Tuesday, March 26, 2019.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    February 2019            March 2019             April 2019
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       1  2  3  4  5  6
3  4  5  6  7  8  9    3  4  5  6  7  8  9    7  8  9 10 11 12 13
10 11 12 13 14 15 16   10 11 12 13 14 15 16   14 15 16 17 18 19 20
17 18 19 20 21 22 23   17 18 19 20 21 22 23   21 22 23 24 25 26 27
24 25 26 27 28         24 25 26 27 28 29 30   28 29 30
31


Monday, January 14, 2019

3:00 pm in 343 Altgeld Hall,Monday, January 14, 2019

#### Organizational Meeting

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

Monday, April 1, 2019

3:00 pm in 343 Altgeld Hall,Monday, April 1, 2019

###### Tsutomu Okano (UIUC Math)

Abstract: In this talk I will discuss how (higher) operads help us encode monoidal structures in (higher) categories. I will also discuss how to generalize this to parametrized settings and hope to convey the usefulness of such formalism in equivariant and motivic homotopy theories.

Monday, April 8, 2019

3:00 pm in 343 Altgeld Hall,Monday, April 8, 2019

#### Mapping space spectral sequences

###### William Balderrama (UIUC Math)

Abstract: The classical story of obstruction theory for computing maps into a space Y involves lifting maps up the Postnikov tower of Y. In this talk, I will introduce a form of this obstruction theory for computing maps between highly structured objects in homotopy theory. Along the way, we will see why Quillen cohomologies show up in homotopy theory, take derived categories of derived categories, and take multiplicative Postnikov towers of nonconnective ring spectra.

Monday, April 15, 2019

3:00 pm in 343 Altgeld Hall,Monday, April 15, 2019

#### Group Theory for Homotopy Theorists

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

Abstract: In this expository talk, we'll introduce a model structure on the category of groups and demonstrate how to effectively study groups using this model. This model has the technical advantage of avoiding the overly abstract definition of a group via sets with binary operation. It also allows for clean definitions of colimits and free objects. If time permits, we'll discuss monoidal structures for a certain localization of this model structure. This is based on a short article by Krause-Nikolaus.

Monday, April 22, 2019

3:00 pm in 343 Altgeld Hall,Monday, April 22, 2019

#### Complex structures on Real vector bundles

###### Abhra Abir Kundu (UIUC Math)

Abstract: In this talk, I will state the first and the second obstruction to having a stable complex structure on a real vector bundle. I will then show how one can go from stable complex structure to complex structure. And, if time permits, I will try to sketch how the second obstruction can be expressed as a secondary cohomology operation.