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Events

Vladimir Baranovsky, UC Irvine, “Factorization homology and graph homology”

SAS 4201

We give a brief overview of factorization homology theory due to Ayala, Francis and Tanaka and explain how it leads to a (still mostly conjectural) generalization of graph homology to homotopy commutative algebras, and an efficient computation of knot invariants coming from factorization homology (at least for alternating links).

MGSA and AMS Cinco de Mayo Celebration

SAS 4104

MGSA and AMS will be providing free Moes burritos to celebrate Cinco de Mayo and the end of the semester! All math grad students are welcome, but you must RSVP by Wednesday, May 3 at noon if you plan to eat a burrito. For info about how to RSVP, please email mgsa.ncstate@gmail.com. All math grad…

Ben Cox, College of Charleston, “On the universal central extension of certain Krichever-Novikov algebras”

SAS 4201

We will describe results on the center of the universal central extension of certain Krichever-Novikov algebras. In particular we will describe how various families of classical and non-classical orthogonal polynomials appear. We will also provide certain new identities of elliptic integrals. This material we will cover was obtained in joint work with V. Futorny, J.…

Daniel Scofield, NC State, Patterns in Khovanov homology

SAS 4201

Khovanov homology is a recent link invariant that lifts the Jones polynomial. We analyze torsion in Khovanov homology by describing a related homology theory that lifts the chromatic polynomial. In particular, we describe torsion in Khovanov homology of several link  families and compute the fourth extreme coefficients of the Jones polynomial for certain links.

AWM Welcome Event

The Association for Women in Mathematics (AWM) will be hosting a welcome event to kick off the beginning of the semester! We will talk a little bit about what our club is about and the types of events we will be hosting throughout the semester, and also play some ice breaker games so everyone can…

Kayla Coleman, An Initialization Algorithm for Gradient-Free Active Subspace Construction

SAS 4201

For models with high-dimensional input spaces, constructing accurate response surfaces can be prohibitively expensive. Additionally, the high-dimensionality of the parameter spaces can impact the computational cost of a parameter investigation. Using an active subspace construction, we can efficiently approximate complex models by constructing low-order response surfaces based on a smaller subspace of the high-dimensional parameter…