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  • GEMS December 3rd Session

    Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

  • Positive semigroups in lattices and totally real number fields (Lenny Fukshansky, CMC)

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    Let  L be a full-rank lattice in R^n and write L+ for the semigroup of all vectors with nonnegative coordinates in L. We call a basis X for L positive if it is contained in L+. There are infinitely many such bases, and each of them spans a conical semigroup S(X) consisting of all nonnegative […]

  • Biquandle arrow weights (Sam Nelson, CMC)

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    Many knot invariants are defined from features of knot projections such as arcs or crossings. Gauss diagrams provide an alternative combinatorial scheme for representing knots. In this talk we will use Gauss diagrams to enhance the biquandle counting invariant for classical and virual knots using biquandle arrow weights, a new algebraic structure without a clear […]

  • Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City (Prof. Joan Ponce, Arizona State University)

    Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

    Title: Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City Speaker: Joan Ponce, Department of Mathematics, Arizona State University Abstract: Epidemiological models can provide the […]

  • GEMS February 4th Session

    Harvey Mudd College at the Shanahan Teaching and Learning Center 301 Platt Blvd., Claremont, CA, United States

  • Orthogonality defect and coherence of cyclotomic lattices (Lenny Fukshansky, CMC)

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    There are two different measures of how far a given Euclidean lattice is from being orthogonal -- the orthogonality defect and the average coherence. The first of these comes from the study of sphere packing while the second is motivated by frame theory, but both of them have applications in digital communications, especially in coding […]

  • Linear Multifractional Stable Sheets in the Broad Sense: Existence and Joint Continuity of Local Times (Qidi Peng, Institute of Mathematical Sciences, CGU)

    Roberts North 105, CMC 320 E. 9th St., Claremont, CA, United States

    We introduce the notion of linear multifractional stable sheets in the broad sense (LMSS) to include both linear multifractional Brownian sheets and linear multifractional stable sheets. The purpose of the framework is to study the existence and joint continuity of the local times of LMSS, and also the local Holder condition of the local times […]

  • structural aspects of von Neumann algebras arising as graph products (Rolando de Santiago, Purdue University)

    Roberts North 105, CMC 320 E. 9th St., Claremont, CA, United States

    Graph products of groups were introduced in E. Green’s thesis in the 90’s as generalizations of Right-Angled Artin Groups. These have become objects of intense study due to their key roles in topology and group theory.  Recently, Caspers and Fima introduced graph products of von Neumann algebras. Since their inception, several structural aspects such as […]

  • On zeros of multilinear polynomials (Max Forst, CGU)

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    Consider rational polynomials in multiple variables that are linear with respect to some of the variables. In this talk we discuss the problem of finding a zero of such polynomials that are bounded with respect to a height function. For a system of such polynomials satisfying certain technical conditions we prove the existence of a […]