# Events for 01/21/2022 from all calendars

## Noncommutative Geometry Seminar

Time: 08:00AM - 09:15AM

Location: ZOOM

Speaker: Misha Gromov

Title: Invitation to Scalar Curvature

Abstract: Abstract: There are three great domains in geometry, which lie on the boundary of "soft" and "rigid": (1) low dimensional, especially 4-dimensional topology/geometry; (2) symplectic topology/geometry; (3) scalar curvature bounded from below. I will try to elucidate in my lecture common features of these three and explain the specificity of the problems arising with the scalar curvature.

## Noncommutative Geometry Seminar

Time: 09:15AM - 10:00AM

Location: ZOOM

Speaker: Rudolph Zeidler

Title: Scalar and mean curvature comparison via the Dirac operator

Abstract: Abstract: I will explain a spinorial approach towards a comparison and rigidity principle involving scalar and mean curvature for certain warped products over intervals. This is motivated by recent scalar curvature comparison questions of Gromov, in particular distance estimates under lower scalar curvature bounds on Riemannian bands $M \times [-1,1]$ and Cecchini's long neck principle. I will also exhibit applications of these techniques in the context of the positive mass theorem with arbitrary ends. This talk is based on joint work with Simone Cecchini.

## Working Seminar on Banach and Metric Spaces

Time: 10:00AM - 11:30AM

Location: BLOC 302

Speaker: Chris Gartland, Texas A&M University

Title: Differentiation of Lipschitz Functions on Metric Measure Spaces.

## Colloquium - Patricia Klein

Time: 4:00PM - 5:00PM

Location: BLOC 117

Speaker: Patricia Klein, University of Minnesota

Description:
Title: Gröbner degeneration in algebra and geometry
Abstract: Gröbner bases are a special kind of generating set of an ideal in a polynomial ring. Introduced by Buchberger in 1965, they have played an essential role in the development of computational commutative algebra and algebraic geometry. Moreover, they serve as a valuable tool in theoretical inquiry by allowing us to replace questions about arbitrary affine varieties with questions about closely-related affine varieties defined by monomial ideals, which admit study by topological and combinatorial techniques. We will discuss the recent history of Gröbner degenerations in generalized determinantal settings and then conclude with an application in Schubert calculus.