• Speaker: Chen Zhang, MSU
• Title: GAUSS: Construct 3-Manifolds with Bagels
• Date: 02/13/2023
• Time: 12:30 PM - 1:30 PM
• Place: C304 Wells Hall
• Contact: Chris David St Clair (stclai22@msu.edu)

Abstract: Any closed compact 3 manifold admits a Heegaard splitting, which splits the 3 manifold into two handlebodies. In this talk, we will use bagels to illustrate the idea of Heegaard splitting. More specifically, we will use 2 bagels to construct 3 sphere and finite many bagels to construct any 3 manifold. Besides, bagels will be provided during the talk.

• Speaker: Keerthi Madapusi, Boston College
• Title: Derived cycles on Shimura varieties
• Date: 02/13/2023
• Time: 3:00 PM - 4:00 PM
• Place: C304 Wells Hall
• Contact: Georgios Pappas (pappasg@msu.edu)

I’ll explain how methods from derived algebraic geometry can be applied to give a uniform definition of special cycle classes on integral models of Shimura varieties of Hodge type, verifying some consequences of Kudla’s conjectures on the modularity of generating series of cycles on Shimura varieties of Hermitian type.

• Speaker: Renaud Detcherry, Institut de Mathématiques de Bourgogne
• Title: Title: On the kernel of Witten-Reshetikhin-Turaev quantum representations
• Date: 02/14/2023
• Time: 2:00 PM - 3:00 PM
• Place: C304 Wells Hall
• Contact: Efstratia Kalfagianni (kalfagia@msu.edu)

Abstract: Witten-Reshetikhin-Turaev SO(3) quantum representations are a family of representations of mapping class groups of surfaces. The family is asymptotically faithful, but each representation has kernel: indeed, r-th powers of Dehn twists are in the kernel of the level r quantum representation. An open question is whether the kernel is generated by r-th powers of Dehn twists; we will present partial results on this question, by relating the so-called "h-adic expansion" of quantum representations to Johnson homomorphisms.

• Speaker: Frank Sottile, Texas A and M Univeristy
• Title: CANCELLED: A Murnaghan-Nakayama formula in quantum Schubert calculus
• Date: 02/15/2023
• Time: 3:00 PM - 3:50 PM
• Place: C517 Wells Hall
• Contact: Bruce E Sagan (bsagan@msu.edu)

The Murnaghan-Nakayama formula expresses the product of a Schur function with a Newton power sum in the basis of Schur functions. An important generalization of Schur functions are Schubert polynomials (both classical and quantum). For these, a Murnaghan-Nakayama formula is geometrically meaningful. In previous work with Morrison, we established a Murnaghan-Nakayama formula for Schubert polynomials and conjectured a quantum version. In this talk, I will discuss some background and then some recent work proving this quantum conjecture. This is joint work with Benedetti, Bergeron, Colmenarejo, and Saliola.

• Speaker: Igor Rapinchuk, MSU
• Title: CANCELLED: Profinite groups and infinite Galois theory
• Date: 02/15/2023
• Time: 3:00 PM - 4:00 PM
• Place: C304 Wells Hall
• Contact: Igor Rapinchuk (rapinchu@msu.edu)

No abstract available.

• Speaker: Patel Coupek, MSU
• Title: Property (Pr) and completed tensor product
• Date: 02/16/2023
• Time: 2:10 PM - 3:10 PM
• Place: C204A Wells Hall
• Contact: Peikai Qi (qipeikai@msu.edu)

No abstract available.