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 […]
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 […]
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: […]
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 standard pieces called handles. Understanding the minimum number of handles required for construction and their sequential attachment provides valuable insights into the complexity of entanglement. […]
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. In this presentation we will highlight the origin and evolution of one such simply stated yet deep problem. The problem emerged during the eighteenth century […]
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 women and gender-nonconforming individuals in mathematics in the Southern California area to get to know each other on a personal as well as professional level. […]
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 degree polynomial system over a finite field is divisible by the characteristic of the field. It is an important result -- it includes a conjecture […]
