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 […]
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 […]
We welcome all undergraduate/graduate students and faculty to attend the Topology Seminar! Speaker: Claudio Gomez-Gonzales (Carleton College - UC Irvine) Title: How hard could it be? A tour of resolvent […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Heather Lee Title: Some examples of homological mirror symmetry Abstract: Mirror symmetry is a duality phenomenon between symplectic […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Rhea Palak Bakshi (University of California Santa Barbara) Title: The skein module of the connected sum of two copies of L(0,1) Abstract: Abstract: Skein modules were introduced by Jozef H. Przytycki, and independently by Vladmimor Turaev, as generalisations of the Jones, Kauffman bracket, […]
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Shane Rankin (University of California, Riverside) Title: Symplectic Hodge Theory on Lie Algebroids Abstract: Symplectic Hodge Theory […]
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Morgan Weiler (University of California, Riverside) Title: Anchored symplectic embeddings and 2-parameter persistence Abstract: Symplectic geometry is a generalization of classical mechanics, in which position and momentum coordinates are paired. In two dimensions, symplectic geometry is equivalent to volume-preserving geometry, but in […]
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Carrie Frizzell (Scripps College) Title: A Primer on Tropical Geometry Abstract: Max-plus and min-plus semifields—coined tropical semifields—appeared in the 1970s in the work of the computer scientist Imre Simon. Since then, the field of tropical geometry has developed rapidly. In this talk, […]
