Department of

# Mathematics

Seminar Calendar
for events the day of Monday, February 22, 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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Monday, February 22, 2021

3:00 pm in zoom,Monday, February 22, 2021

#### Symplectic fillings and cobordisms of lens spaces

###### John Etnyre (Georgia Tech)

Abstract: Tight contact structures on lens space break into two types: universally tight and virtually overtwisted. In 2008, Lisca classified all symplectically fillable contact structures of universally tight contact structures on lens spaces. There have been several partial results for the larger class of virtually overstated contact structures on lens spaces, most notably Plamenevskaya and Van Horn-Morris classification of symplectic fillings of all tight contact structures on L(p,1). In this talk I will discuss joint work with Agniva Ray that classifies all minimal symplectic fillings of all tight contact structures on lens spaces. If time permits we will also discuss some interesting cobordisms between them and related open problems.

3:00 pm in Zoom,Monday, February 22, 2021

#### Structure of the Motivic Stable Homotopy Category

###### Brian Shin (UIUC)

Abstract: In classical homotopy theory, a first step in understanding the stable homotopy category is understanding the zeroth stable stem $\pi_0 \mathbf{S}$. The fact that this is the ring of integers leads to the idea that we may be able to study things "one prime at a time". In this expository talk, I'll talk about the analogous story in the setting of motivic homotopy theory. After reviewing basics of the motivic story, we'll see how knowledge of the motivic zeroth stable stem can be used to better understand the motivic stable homotopy category. Please email vb8 at illinois dot edu for the zoom details.

5:00 pm in Altgeld Hall,Monday, February 22, 2021