Topology Seminar

No seminar this week due to Spring break!

We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Reginald Anderson (Claremont McKenna College) Title: Kontsevich's Recursive Formula for Rational Plane Curves Abstract: Gromov-Witten theory was developed in the 1990s as a curve-counting theory by integrating cohomology classes against a virtual fundamental class for a moduli space of stable maps. One […]

We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Scott Taylor (Colby College) Title: Genus 1 Bridge Number of Satellite Knots in Lens Spaces Abstract: In […]

We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Sierra Knavel (Georgia Tech) Title: Betti Numbers and Indecomposability of Genus-2 Lefschetz Fibrations Abstract: Symplectic 4-manifolds, smooth […]

We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Sam Nelson (Claremont McKenna College) Title: Virtual Biquandle Cocycle Quiver Representations Abstract: We construct a quiver representation valued invariant of virtual knots and links using virtual biquandle homology.

We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: David Bachman (Pitzer College) Title: Learning optimal knot projections Abstract: We use techniques from Reinforcement Learning to find knot projections which minimize crossing number.

We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Puttipong Pongtanapaisan (Pitzer College) Title: Special Positions of Shapes in Four-Dimensional Space Abstract: I will begin by convincing you that four-dimensional space is more familiar than it might first appear. Then, I will introduce ways in which mathematicians study objects in 4-space. Each […]

We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Robert Cass (Claremont McKenna College) Title: Schubert varieties are splinters Abstract: Schubert varieties are among the most well-studied singular algebraic varieties, and they have numerous applications in combinatorics and representation theory. In positive characteristic, Schubert varieties are known to be Frobenius split by […]

We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Chris Grossack (UC Riverside) Title: Explicitly Computing Fukaya Categories of Surfaces Abstract: Fukaya categories are rich and interesting invariants of symplectic manifolds that are often difficult to compute in practice. In the case of surfaces, however, the computation becomes pleasantly combinatorial, and can […]

We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Indraneel Tambe (UCLA) Title: Steinberg skein relations at roots of unity Abstract: This talk discusses some of the […]

Topology, akin to geometry, delves into the study of the shapes and structures of mathematical spaces, ranging from simple surfaces to intricate collections of functions and objects. In recent years, […]