Department of

Mathematics


Seminar Calendar
for Graduate Student Homotopy Theory Seminar events the year of Friday, February 14, 2020.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
     January 2020          February 2020            March 2020     
 Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
           1  2  3  4                      1    1  2  3  4  5  6  7
  5  6  7  8  9 10 11    2  3  4  5  6  7  8    8  9 10 11 12 13 14
 12 13 14 15 16 17 18    9 10 11 12 13 14 15   15 16 17 18 19 20 21
 19 20 21 22 23 24 25   16 17 18 19 20 21 22   22 23 24 25 26 27 28
 26 27 28 29 30 31      23 24 25 26 27 28 29   29 30 31            
                                                                   

Monday, January 27, 2020

3:00 pm in Altgeld Hall 441,Monday, January 27, 2020

Organizational meeting

William Balderrama (Illinois Math)

Monday, February 3, 2020

3:00 pm in 441 Altgeld Hall,Monday, February 3, 2020

Exotic elements in Picard groups

Ningchuan Zhang (Illinois Math)

Abstract: In this talk, I will discuss the subgroup of exotic elements in the $K(h)$-local Picard groups. We will first show this subgroup is zero when $p\gg h$ and then focus on the $(h,p)=(1,2)$ and $(2,3)$ cases.

Monday, February 10, 2020

3:00 pm in 441 Altgeld Hall,Monday, February 10, 2020

Exotic elements in Picard groups (part 2)

Ningchuan Zhang (Illinois Math)

Abstract: In this talk, I will discuss the subgroup of exotic elements in the $K(h)$-local Picard groups. We will first show this subgroup is zero when $p\gg h$ and then focus on the $(h,p)=(1,2)$ and $(2,3)$ cases.

Monday, February 17, 2020

3:00 pm in 441 Altgeld Hall,Monday, February 17, 2020

A geometric perspective on the foundations of modern homotopy theory

Brian Shin (Illinois Math)

Abstract: Homotopy theorists have always been interested in studying spaces. However, the meaning of the word ``space'' has evolved over the years. Whereas one used to say space to mean a topological space, it seems the modern stance is to view a space as an $\infty$-groupoid. In this expository talk, I would like to connect the modern stance back to geometry. In particular, I will demonstrate how the $\infty$-category of spaces can be built out of the category of manifolds. As an application, we will use this connection to give a geometric perspective on infinite loop space theory.

Monday, February 24, 2020

3:00 pm in 441 Altgeld Hall,Monday, February 24, 2020

An introduction to motivic homotopy theory

Brian Shin (Illinois Math)

Abstract: Motivic homotopy is often thought of as the homotopy theory of algebraic varieties. In this expository talk, we'll see exactly what that means. In particular, we'll see how the construction of the category of motivic spaces is a direct algebro-geometric analog of that of the category of spaces. More interestingly, we'll also see how the analogy breaks down.