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# Events for 11/11/2020 from all calendars

## Noncommutative Geometry Seminar

## Topology Seminar

## Student/Postdoc Working Geometry Seminar

**Time: ** 1:00PM - 2:00PM

**Location: ** Zoom 942810031

**Speaker: **Nigel Higson, Penn State University

**Title: ***The Oka principle and Novodvorskii’s theorem*

**Abstract: **In the early days of Banach algebra K-theory, Novodvorskii proved that the Gelfand transform for any commutative Banach induces an isomorphism in Banach algebra K-theory. This is a version of the Oka principle in several complex variables, which identifies equivalence classes of structures, including vector bundles, in the holomorphic and continuous categories in a variety of contexts. Since the Oka principle has long been proposed as a mechanism to understand and indeed prove the Baum-Connes conjecture, Novodvorskii’s theorem continues to be of interest in noncommutative geometry. I shall give a more or less self-contained proof of Novodvorskii’s theorem, along with a rough sketch of possible future extensions into the noncommutative realm. This is joint work with Jacob Bradd.

**URL: ***Event link*

**Time: ** 4:00PM - 5:00PM

**Location: ** Zoom

**Speaker: **Fenglong You, University of Alberta

**Title: ***Relative Gromov-Witten theory and mirror symmetry*

**Abstract: **Gromov-Witten invariants are rational numbers that count curves in algebraic varieties or symplectic manifolds. Given a smooth projective variety X and a codimension one subvariety (i.e. a divisor) D, relative Gromov-Witten invariants count curves in X with tangency conditions along D. While absolute Gromov-Witten theory is known to have many nice structural properties, such as quantum cohomology, WDVV equation, Givental's formalism, Cohomological field theory (CohFT) etc., parallel structural properties were unknown for relative Gromov-Witten theory until recently. In this talk, I will give an overview of some recent progress in relative Gromov-Witten theory including several structural properties and applications to mirror symmetry.

**Time: ** 11:00PM - 12:00PM

**Location: ** zoom

**Speaker: **JM Landsberg, TAMU

**Title: ***Mukai: moduli of rank 2 vector bundles on curves II*