Past Events

2021 Nov 15
Postdoctoral positions at UVa in geometry-topology
(All day)

The Department of Mathematics at UVa invites applications for two RTG (Research Training Group) postdoctoral positions, in the fields of geometry and topology.

2021 Sep 19
Math Circle Fall 2021
Sunday, Sep 19, 2021 (All day) to Sunday, Nov 21, 2021 (All day)
2021 Sep 01
Seminar on invariants of 4-manifolds from Khovanov homology, Fall 2021
Wednesday, Sep 01, 2021 (All day) to Tuesday, Nov 30, 2021 (All day)

This is a reading group on invariants of 4-manifolds from Khovanov homology, in particular the skein lasagna module defined by Morrison-Walker-Wedrich. Participants are graduate students, postdocs and faculty interested in the subject. Please contact Slava Krushkal if you are interested in participating.

2021 Aug 24
Fall 2021 Course: 4720: Intro to Differential Geometry.
Tuesday, Aug 24, 2021 (All day) to Tuesday, Dec 07, 2021 (All day)

The main object of study is the geometry of curves and surfaces. Topics include: higher-dimensional manifolds, the Gauss map, parallel transport, curvature of curves and surfaces, the first and second fundamental forms, surface area and volume, geodesics, the exponential map, the Gauss-Bonnet theorem.

2021 May 16
BIRS workshop "Perspectives on knot homology"
Sunday, May 16, 2021, 02:24am to Friday, May 21, 2021, 12:00am
2021 Feb 01
Spring 2021 courses: 4750: Intro to Knot Theory, 7830: Fiber Bundles
Monday, Feb 01, 2021 (All day) to Friday, May 07, 2021 (All day)

Math 4750: Introduction to Knot Theory

Knot theory is a classical subject concerning knotting and linking in 3-space. Many new and interesting developments took place in this subject over the last 30 years. This class will give an overview of both classical and recent results: the Kauffman bracket and the Jones polynomial; the Alexander polynomial; Khovanov homology; Seifert surfaces; examples and classes of knots: torus knots, alternating knots, hyperbolic knots; intrinsic knotting of graphs; colorings and relation to combinatorics of planar graphs; knotting and linking in higher dimensions.

Math 7830: Fiber Bundles

Course material: Vector bundles, principal bundles, characteristic classes (Stiefel-Whiteney, Chern, Pontryagin). Orientability, Euler class. Classifying spaces (for vector bundles and principal bundles). Spectral sequences: Leray-Serre and applications. Elements of K-theory.

2020 Oct 01
Math Circle Fall 2020
Thursday, Oct 01, 2020 (All day) to Monday, Nov 30, 2020 (All day)
2020 Jul 15
Seminar on quantum invariants and modular forms, Summer-Fall 2020
Wednesday, Jul 15, 2020, 09:30am to Thursday, Oct 15, 2020, 09:30am

This is a reading group on quantum invariants of 3-manifolds and (quantum) modular forms; most participants are graduate students interested in the subject. Please contact Slava Krushkal if you are interested in participating.