Date: | January 22, 2018 |

Time: | 3:00PM - 3:50PM |

Location: | BLOC 628 |

Speaker: | Frank Sottile, TAMU |

Title: | Newton-Okounkov Bodies for Applications |

Date: | January 22, 2018 |

Time: | 5:00PM - 6:00PM |

Location: | BLOC 628 |

Speaker: | JM Landsberg, TAMU |

Title: | Tightness of tensors and beyond |

Date: | January 24, 2018 |

Time: | 1:45PM - 2:45PM |

Location: | BLOC 220 |

Speaker: | Matt Young, Texas A&M University |

Title: | TBA |

Date: | January 24, 2018 |

Time: | 2:00PM - 3:00PM |

Location: | BLOC 628 |

Speaker: | Nigel Higson, Pennsylvania State University |

Title: | [Colloquium] Asymptotic geometry and continuous spectrum |

Abstract: | Early in his career, Hermann Weyl examined and solved the problem of decomposing a function on a half-line as a continuous combination of the eigenfunctions of a Sturm-Liouville operator with asymptotically constant coefficients. Weyl's theorem served as inspiration for Harish-Chandra in his pursuit of the Plancherel formula for semisimple groups, and for this and other reasons it continues to be of interest. I'll try to explain the (noncommutative) geometry behind Weyl's theorem and behind the extensions studied by Harish-Chandra. This is joint work with Tyrone Crisp and Qijun Tan. |

Date: | January 24, 2018 |

Time: | 3:00PM - 4:00PM |

Location: | BLOC 624 |

Speaker: | Quanlei Fang, City University of New York |

Title: | Multipliers of Drury-Arveson space |

Abstract: | The Drury-Arveson Space, as a Hilbert function space, plays an important role in multivariable operator theory. In this talk we will discuss various properties of multipliers of the Drury-Arveson space. |

Date: | January 24, 2018 |

Time: | 6:00PM - 7:00PM |

Location: | BLOC 220 |

Speaker: | Dr. Michael Anshelevich, Texas A&M University, Department of Mathematics |

Title: | REU Information Session |

Abstract: | A panel of experts will be available to answer student questions about summer Research Experience for Undergraduates programs. |

Date: | January 26, 2018 |

Time: | 3:00PM - 4:00PM |

Location: | BLOC 628 |

Speaker: | Karina Batistelli, U. N. Cordoba |

Title: | QHWM of the "orthogonal" and "symplectic" types Lie subalgebras of the matrix quantum pseudodifferential operators |

Abstract: | In this talk, we will characterize the irreducible quasifinite highest weight modules of some subalgebras of the Lie algebra of matrix quantum pseudodifferential operators N x N. In order to do this, we will first give a complete description of the anti-involutions that preserve the principal gradation of the algebra of NxN matrix quantum pseudodifferential operators and we will describe the Lie subalgebras of its minus fixed points. We will obtain, up to conjugation, two families of anti-involutions that show quite different results when n=N and n |

Date: | January 29, 2018 |

Time: | 2:00PM - 3:00PM |

Location: | BLOC 628 |

Speaker: | paul jung, Korea Advanced Institute of Science and Technology |

Title: | Infinite-volume Gibbs measures for the 1D-Coulomb jellium |

Abstract: | The jellium is a model, introduced by Wigner, for a gas of electrons moving in a uniform neutralizing background of positive charge. In two dimensions, the model is related to the Gaussian free field while in one dimension the model is used to study dimerization and crystallization. For the quantum 1D jellium, Brascamp and Lieb (1975) proved crystallization (non-ergodicity of the Gibbs measures) at low densities of electrons. Using tools from probability theory including the Feyman-Kac formula and Markov chains, we demonstrate crystallization for the quantum one-dimensional jellium at all densities. |

Date: | January 30, 2018 |

Time: | 2:00PM - 3:00PM |

Location: | BLOC 220 |

Speaker: | Dave Penneys, Ohio State |

Title: | Standard invariants for discrete subfactors |

Abstract: | The standard invariant of a finite index II_1 subfactor is a $\lambda$-lattice and forms a planar algebra. In turn, the planar algebra formalism has been helpful in constructing and classifying subfactors, as well as studying analytic properties. In joint work with Corey Jones, we give a well-behaved notion of the standard invariant of an extremal irreducible discrete subfactor $N\subset M$, where $N$ is type II_1 and $M$ is an arbitrary factor. We also get a subfactor reconstruction theorem. This generalizes the standard invariant for finite index subfactors to a natural class of infinite index subfactors. Particular examples include the symmetric enveloping inclusion and examples coming from discrete quantum groups. |

Date: | January 30, 2018 |

Time: | 4:00PM - 4:50PM |

Location: | BLOC 220 |

Speaker: | Davis Penneys, The Ohio State University |

Title: | Exotic fusion categories: EH3 exists! |

Abstract: | Fusion categories generalize the representation categories of (quantum) groups, and we think of them as objects which encode quantum symmetry. All currently known fusion categories fit into 4 families: those coming from groups, those coming from quantum groups, quadratic categories, and those related to the extended Haagerup (EH) subfactor. First, I'll explain what I mean by the preceding sentence. We'll then discuss the extended Haagerup subfactor, along with the newly constructed EH3 fusion category (in joint work with Grossman, Izumi, Morrison, Peters, and Snyder), and the possibility of the existence of EH4. |

Date: | January 31, 2018 |

Time: | 6:00PM - 7:00PM |

Location: | BLOC 220 |

Speaker: | Dr. Glenn Lahodny, Texas A&M University, Department of Mathematics |

Title: | TBA |

Date: | February 7, 2018 |

Time: | 6:00PM - 7:00PM |

Location: | BLOC 220 |

Speaker: | Dr. Matt Papanikolas, Texas A&M University, Department of Mathematics |

Title: | TBA |

Date: | February 9, 2018 |

Time: | 1:50PM - 2:50PM |

Location: | BLOC 628 |

Speaker: | James Kennedy, University of Lisbon |

Title: | Asymptotically optimal Laplacian eigenvalues and Polya's conjecture |

Abstract: | A longstanding problem in spectral geometry is to determine the domain(s) which minimise a given eigenvalue of a differential operator such as the Laplacian with Dirichlet boundary conditions, among all domains of given volume. For example, the Theorem of (Rayleigh--) Faber--Krahn states that the smallest eigenvalue is minimal when the domain is a ball. Very little to nothing is known about domains minimising the higher eigenvalues, but the Weyl asymptotics suggest that the ball should in a certain sense be asymptotically optimal. In the first part of this talk, we will sketch a new approach to this problem initiated by a paper of Colbois and El Soufi in 2014, which asks not after the minimising domains themselves but properties of the corresponding sequence of minimal values. This serendipitously also yields a new Ansatz for tackling the more than 50 year old conjecture of Polya that the k-th eigenvalue of the Dirichlet Laplacian on any domain always lies above the corresponding first term in the Weyl asymptotics for that eigenvalue. Along the way, we will additionally meet variants of Gauss circle problem. In a second part, we will present some recent analogous results for the Laplacian with Robin boundary conditions, which are ongoing joint work with Pedro Freitas. |

Date: | February 9, 2018 |

Time: | 4:00PM - 5:00PM |

Location: | BLOC 628 |

Speaker: | Tri Lai, University of Minnesota |

Title: | Tilings and More |

Date: | February 16, 2018 |

Time: | 3:00PM - 3:50PM |

Location: | BLOC 628 |

Speaker: | Yaiza Canzani, UNC Chapel Hill |

Title: | TBA |

Abstract: | TBA |

Date: | February 16, 2018 |

Time: | 4:00PM - 5:00PM |

Location: | BLOC 628 |

Speaker: | Sara Maloni, University of Virginia |

Title: | TBA |

Date: | February 19, 2018 |

Time: | 3:00PM - 4:00PM |

Location: | BLOC 628 |

Speaker: | Francis Bonahon, USC |

Title: | TBA |

Date: | February 20, 2018 |

Time: | 3:00PM - 4:00PM |

Location: | BLOC 624 |

Speaker: | John N. Shadid, Sandia National Laboratories |

Title: | TBA |

Date: | February 21, 2018 |

Time: | 3:00PM - 4:00PM |

Location: | BLOC 628 |

Speaker: | Dmitri Kuzmin, Dortmund University of Technology |

Title: | TBA |