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Texas A&M University
Mathematics

Events for 10/27/2014 from all calendars

Geometry Seminar

iCal  iCal

Time: 3:00PM - 4:00PM

Location: BLOC 624

Speaker: Jeremy Daniel, Institut de mathématiques de Jussieu

Title: Hodge Theory and Harmonic Bundles

Abstract: Hodge theory is a powerful tool to study the connections between the topological and the complex geometrical aspects of a complex projective manifold. The main idea is that these two kinds of invariants should meet in the harmonic structures attached to the manifold. I will explain this general principle, first in the classical (or Abelian) setting when one studies the de Rham and Dolbeault cohomologies of the manifold and then in the non-Abelian setting, when one is interested to the representations of the fundamental group and the Higgs bundles of the manifold. If time allows, I will speak of the meta-theorem of Simpson relating variations of Hodge structures and harmonic bundles and give a new light on this principle.


Free Probability Seminar

iCal  iCal

Time: 3:00PM - 3:50PM

Location: BLOC 628

Speaker: Mario Diaz Torres, Queen's University

Title: On Random Operator-Valued Matrices: Operator-Valued Semicircular Mixtures and Central Limit Theorem

Abstract: In this talk random operator-valued matrices will be introduced. In particular, we will briefly discuss the random matrix model that motivates the definition of these objects. The analogue of Gaussian mixtures in this context will be analyzed and a central limit theorem for random operator-valued matrices will be derived.