We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Adam Yassine (Pomona College) Title: A Structural Approach to Classical Mechanics Abstract: A structural approach to the study of classical mechanics clarifies the physical heuristics that physicists use in constructing mathematical models of classical mechanical systems. The focus of our current program is to develop […]
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 pre-modular category with Müger center equivalent to the symmetric unitary category of super-vector spaces. The modular data for a super-modular category gives a projective representation […]
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 classical knots, clasp pass moves are closely related to Vassiliev invariants of degree 3. Tsukamoto showed that the values of the Vassiliev invariant of degree […]
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 given by Bayer-Popescu-Sturmfels gives a virtual resolution of the diagonal for smooth projective toric varieties and toric Deligne-Mumford stacks which are a global quotient of […]
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 rough boundaries, often having nowhere defined tangent lines/spaces. However, there is a tool useful for probing the edges of such fractals: tubular neighborhoods. In this […]
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 is to understand Legendrian submanifolds; these submanifolds are always tangent to the plane field given by the contact structure. Legendrian links arise as wavefronts in […]
