Department of

# Mathematics

Seminar Calendar
for events the day of Monday, November 9, 2020.

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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, November 9, 2020

11:00 am in zoom,Monday, November 9, 2020

#### One can hear semitoric systems

###### San Vu Ngoc (Université de Rennes 1)

Abstract: I will report on an ongoing work with Yohann Le Floch about inverse spectral theory for quantum integrable systems. The question, adapted from the famous "Can one hear the shape of a drum?", is to fully reconstruct a semi-toric system from the joint spectrum of its quantum counterpart. It was proposed as a conjecture about 10 years ago. We show that the conjecture is true, by analyzing the quantum versions of all "symplectic invariants" of semi-toric systems.

3:00 pm in Zoom,Monday, November 9, 2020

#### Equivariant formal group laws

###### Tsutomu Okano (UIUC)

Abstract: Formal group laws arise in homotopy theory through complex oriented cohomology theories. They are particularly interesting for finite characteristic and led to the creation of many “designer spectra" in stable homotopy theory. In this talk I will introduce equivariant formal group laws for abelian compact Lie groups and highlight some known structural results. I will also talk about some key differences and difficulties compared to the non-equivariant setting. Please email vb8 at illinois dot edu for the zoom details.

5:00 pm in Altgeld Hall,Monday, November 9, 2020

#### Examples of conformal nets

###### Yidong Chen

Abstract: We will discuss some examples of conformal nets and the split property.