Quiver structures are naturally associated to subsets of the endomorphism sets of quandles and other knot-coloring structures, providing a natural form of categorification of homset invariants and their enhancements. In this talk we will survey recent work in this area.
We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Luya Wang (Stanford) Title: Deformation inequivalent symplectic structures and Donaldson's four-six question Abstract: Studying symplectic structures up to deformation equivalences is a fundamental question in symplectic geometry. Donaldson asked: given two homeomorphic closed symplectic four-manifolds, are they diffeomorphic if and only if their […]
Title: Mirror Symmetry and Zeta Values Speaker: Sheel Ganatra, University of Southern California Abstract: Mirror symmetry is a conjectural correspondence, born out of ideas in string theory, between two geometries of very different nature. In its earliest mathematical appearance, mirror symmetry was used to make predictions for certain numerical measurements of one space in terms of […]
Join us for the first talk in the joint seminar with CCMS Applied Math and the Universidad Nacional de Colombia Title Serre Conjecture. Geometric interpretation of the Quillen-Suslin Theorem. Abstract: The Quillen-Suslin theorem asserts that over the polynomial ring with coefficients in a field K, every projective module is free. Despite the algebraic nature of […]
A projective algebraic variety X is the zero locus of a collection of homogeneous polynomials, in projective space. When the polynomials have integer coefficients, we can think of the k-valued […]
We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Puttipong Pongtanapaisan (Arizona State University) Title: Building Knotted Objects Efficiently Abstract: Knotted objects can be constructed by gluing together […]
Title: Evolution of an Intriguing Recreational Math Problem Speaker: Shawn McMurran, California State University San Bernardino Abstract: Besides being popular and entertaining, recreational mathematics problems are often of historical interest. […]
The 14th Symposium for Women and Gender Minorities in Mathematics in Southern California WiMSoCal returns to SoCal after a four-year-hiatus due to pandemic. The symposium will provide an opportunity for […]
This is the continuation of the semester's joint seminar with the Universidad Nacional de Colombia-Manizales. Title: Enumerating linearity regions of max-pooling layers in convolutional neural networks Abstract: Convolutional neural networks (CNN's) are central tools in the application of machine learning to text, audio and image processing. Their success stems from the ability of these networks to […]
For a finite field F_q, a subset of F_q^N is a Kakeya set if it contains a line in every direction (i.e., a coset of every one-dimensional linear subspace). The finite […]
No Seminar
Title: A Group-Theoretic Ax-Katz Theorem Speaker: Pete L. Clark, University of Georgia Abstract: The Chevalley-Warning Theorem is a result from 1935 asserting that the number of solutions to a low […]
