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Events happening on February 27, 2018

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Feb. 27, 2018 11am (MATH 350)	Number Theory Number Theorists of Boulder X This week, Daniel will give us a brief overview of what he's up to. Number Theory Lab Meeting
Feb. 27, 2018 12pm (MATH 350)	PDE/Analysis Marcelo Disconzi (Vanderbilt) This is a Colloquium that should be of interest to anyone usually attending the seminar.
Feb. 27, 2018 12:10pm (Math …	Kempner Marcelo Disconzi (Vanderbilt) X We will discuss some recent results concerning mathematical aspects of relativistic fluids, focusing on the evolution problem for Einstein’s equations coupled to the equations of relativistic fluid dynamics. After introducing some background, we will present two alternative formulations of the relativistic Euler equations. The first one is inspired by work of H. Friedrich and employs a frame formalism to recast the Einstein-Euler system as a first order symmetric hyperbolic system. We will give a motivation behind this approach and establish an existence and uniqueness result. The second formulation reveals a remarkable null-structure of the relativistic Euler equations. Such structure is “hidden,” i.e., it is not apparent in the equation’s usual form, and has important consequences for the study of the nature of shock formation. We will then turn our attention to the problem of relativistic fluids with viscosity. The question of how to formulate viscous fluids within relativity theory goes back to Eckart in 1940 and remains largely open. After discussing the history of the problem and reasons for considering relativistic viscous fluids, we will present a recent formulation that provides the first example in the literature of a theory of relativistic fluids with viscosity that admits existence and uniqueness of solutions when coupled to Einstein’s equations, and satisfies further requirements intrinsic to relativistic theories. Some of the results I will discuss are joint with F. Bemfica, M. Czubak, J. Noronha, and J. Speck. Recent developments in the theory of relativistic fluids
Feb. 27, 2018 1pm (MATH 220)	Grad Algebra/Logic Peter Mayr (CU Boulder) X We give a description of subdirect products of several factors in congruence permutable varieties using Fleischer's Lemma and higher commutators. As an application we will obtain a sufficient condition for such a subdirect product to be finitely generated. This is joint work N. Ruskuc. Subdirect products of multiple factors 2
Feb. 27, 2018 3pm (MATH 350)	Algebraic Geometry Ronny Wells (Jacobs University Bremen and University of Colorado) X Every Riemann surface admits nonconstant meromorphic functions, but this is not the case for higher dimensional complex manifolds, as Siegel pointed out with an example in 1949 (a complex two torus). Kodaira showed in 1964 that any compact complex surface with no nonconstant meromorphic functions must be a torus, a type of Hopf surface or a K3 surface. In this lecture I want to show that such surfaces with no nonconstant meromorphic functions are dense in the natural modulli spaces for these three classes of surfaces. Compact complex surfaces with no nonconstant meromorphic functions
Feb. 27, 2018 4pm (MATH 350)	Topology Agnes Beaudry (CU) X In this talk, I will give an introduction to equivariant stable homotopy theory and some of the tools used in this field. Some familiarity with the classical stable homotopy category will be assumed. An introduction to Equivariant Homotopy Theory

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