This talk has been cancelled. We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Iris Yoon (Wesleyan College) Title: A generalized Dowker complex for multi-way Relations Abstract: Given a relation between two sets X and Y, one can construct two simplicial complexes, one having X as its vertex set and the other […]
We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Qing Zhang (UC Santa Barbara) Title: Super-modular categories from near-group centers Abstract: A super-modular category is a unitary […]
We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Jim Hoste (Pitzer College) Title: Variations on the Kauffman Bracket Abstract: Forty years ago, Lou Kauffman formulated his "bracket" polynomial, a function from link diagrams to Laurent polynomials in one variable. This elementary construction leads to a simple definition of the Jones Polynomial. […]
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Ryan Maguire (Dartmouth College) Title: Relative Strengths of Knot Invariants by Experiment Abstract: Four knot polynomials have been well studied by topologists, graph theorists, and algebraists alike: The Alexander, Jones, HOMFLY-PT, and Khovanov polynomials. It is known that the Khovanov polynomial is […]
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Joe Breen (University of Iowa) Title: Open books in all dimensions Abstract: I will discuss recent work (joint with K. Honda and Y. Huang) on establishing a relationship, first discovered by Giroux, between "contact structures" and "open books". This relationship has been […]
We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Elena Wang (Michigan State University) Title: A Distance for Geometric Graphs via the Labeled Merge Tree Interleaving Distance Abstract: Geometric graphs appear in many real-world data sets, such as road networks, sensor networks, and molecules. We investigate the notion of distance between graphs […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Sam Nelson (CMC) Title: Biquandle Module Quiver Representations Abstract: Biquandle module enhancements are invariants of knots and links generalizing the classical Alexander module invariant. A quiver categorification of these invariants was introduced in 2020. In this work-in-progress (joint with Yewon Joung from Hanyang […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Migiwa Sakurai (Shibaura Institute of Technology) Title: Clasp pass moves and arrow polynomials of virtual knots Abstract: For […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Reginald Anderson (CMC) Title: Presentations of derived categories Abstract: A modification of the cellular resolution of the diagonal […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Will Hoffer (UC Riverside) Title: Tube Formulae for Fractal Snowflakes Abstract: Fractals like the von Koch snowflake have […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Orsola Capovilla-Searle (UC Davis) Title: Exact Lagrangian fillings of Legendrian links Abstract: An important problem in contact topology […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Vijay Higgins (UCLA) Title: Webs and skein algebras Abstract: The Jones polynomial of a link can be computed diagrammatically by using skein relations, which encode the representation theory of SL(2). By considering the vector space spanned by links drawn on a surface and […]
