Tags: Seminars


Algebra Seminar: Weiqiang Wang (UVA)

Title: Hall algebras and quantum symmetric pairs Abstract: As a quantization of symmetric pairs, a quantum symmetric pair consists of a quantum group and its coideal subalgebra (called an i-quantum group). A quantum group can be viewed as an example of i-quantum groups associated to symmetric pairs of diagonal type. In recent years, several fundamental constructions (such as canonical bases, R-matrices) for quantum groups have been generalized…


Graduate Algebraic Geometry Seminar: Ben Tighe (UGA)

  Title: A Maximal Family of Borcea-Voisin Calabi-Yau 3-folds. Abstract: We will discuss Rohde's construction of a maximal family of Calabi-Yau 3-folds with a maximal automorphism, arising from the restricted family of marked K3 surfaces with a non-symplectic Z3-action. We will then indicate how the existence of this maximal automorphism gives some constancy results in the variations of Hodge structure, and how this implies that members of…


Statistical SMARTS: Andrew Maurer


Topology Seminar: Rob Schneiderman (Lehman College CUNY) "Extending Gabai's general 4-dimensional Light Bulb Theorem"

  Abstract: David Gabai's smooth general 4-dimensional Light Bulb Theorem states roughly that `for embedded 2-spheres in an orientable 4-manifold, homotopy implies isotopy, in the presence of a geometric dual sphere and the absence of 2-torsion in the ambient fundamental group'. In joint work with Peter Teichner this result is extended to arbitrary orientable 4-manifolds by showing that an invariant of Mike Freedman and Frank Quinn which…


Graduate Student Seminar: Terrin Warren


Topology Joint Seminar: Christine Ruey Shan Lee (University of South Alabama)

A surface construction for colored Khovanov homology Colored Khovanov homology is a categorification of the colored Jones polynomial. To each integer n ≥ 2 and a diagram D of a link, it assigns a bigraded chain complex. The graded Euler characteristic of the homology groups gives the nth colored Jones polynomial. It has typically been difficult to extract topological information from colored Khovanov homology due to its dependence on the…


Topology Joint Seminar: Nathan Dowlin (Dartmouth College)

A spectral sequence from Khovanov homology to knot Floer homology Khovanov homology and knot Floer homology are two knot invariants which are defined using very different techniques, with Khovanov homology having its roots in representation theory and knot Floer homology in symplectic geometry. However, they seem to contain a lot of the same topological data about knots. Rasmussen conjectured that this similarity stems from a spectral sequence…


Math Ed SMARTS: Irma Stevens


Graduate Topology Seminar, Thomas Melistas


Graduate Algebraic Geometry Seminar: Freddy Saia (UGA)

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