The original Bost-Connes system was constructed in 1990 and is a QSM system with deep connections to the field of rationals. In particular, its partition function is the Riemann-zeta function and its ground states evaluated on certain arithmetic objects yield generators of the maximal Abelian extension of the rationals. In this talk we describe the […]
Title: Graph Complexes and Moduli Spaces of Curves Speaker: Siddarth Kannan, UCLA Abstract: I will begin by defining a certain combinatorial object called a graph complex. Then I will give a brief introduction to the moduli space of curves. The study of the geometry of this moduli space has occupied several generations of mathematicians, across […]
Title: Existence and multiplicity of solutions for a cooperative elliptic system using Morse theory This is joint work with Leandro Recova (Cal Poly Pomona) Abstract
We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Song Yu (California Institute of Technology and Tsinghua Yau Mathematical Sciences Center) also a Pomona alum! Title: Knot invariants, Gromov-Witten invariants, and integrality conjectures Abstract: In this talk, we will take a peek at large N duality which is a deep correspondence between invariants […]
Title: Math as Art and Recreation Speaker: Peter Kagey, HMC Abstract: Recreational Mathematics is an area of math which is rooted in exploration and playfulness, and includes puzzles, games, art, and more. This talk takes a closer look at these ideas, emphasizing how a foundation of curiosity and play can lead to insightful connections with various […]
Title: Shrinkage Estimation for Causal Inference and Experimental Design Speaker: Evan T. R. Rosenman, Assistant Professor of Statistics, Claremont McKenna College Abstract: Passive collection of observational data -- in settings such as medicine, insurance, and e-commerce -- is a ubiquitous feature of modern life. For statisticians, these ever-proliferating datasets are both promising and perilous. Observational […]
Title: Tropical Linear Series Abstract: In this talk I'll attempt to give a friendly and example-driven introduction to the theory of linear series on tropical curves. While in some respects mirroring the classical study of linear series, in the tropical setting there are many surprises and even basic questions remain open. This work is joint with […]
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 […]
