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List of Events
IGERT Seminars will normally be held at 4:00 p.m. in Abelson 229, unless otherwise noted.
Wednesday, November 12, 2014
Room: Abelson 229
Ryan Grady, Boston University
Title: "Applications of quantum field theory to geometry and topology: observables and index theory"
Abstract: In this talk I will recall the origins of deformation quantization with some applications to physical computations. I will then introduce one mathematical formulation of observables in classical/quantum field theory. Finally, using the language of observables I will give a proof of the algebraic index theorem
Host: D. Ruberman
Tuesday, December 2, 2014 - Thursday, December 4, 2014
EISENBUD LECTURES 2014
The Eisenbud Lectures are the result of a generous donation by Leonard and Ruth-Jean Eisenbud, intended for a yearly set of lectures by an eminent physicist or mathematician working close to the interface of the two subjects.
2014-2015 Recipient and Lecturer:
Peter Sarnak, Institute for Advanced Study and Princeton University
Room: Abelson 131 at 4:00 pm for all lectures
Host: B. Lian
Note: Refreshments at 3:30pm before each lecture outside Abelson 131
Theme: "Randomness in number theory and geometry"
Abstract : The behavior of many arithmetic and geometric objects, from the zeros of zeta functions to the the topologies of random real algebraic varieties are apparently dictated by models from statistical physics. We will review some of these and highlight the basic conjectures and some of what is known towards them.
Lecture 1: December 2, 2014 at 4:00pm
Title: "The topology of random real hypersurfaces and percolation."
Abstract : The topologies of the connected components of the zero sets of random real projective hypersurfaces of high degree follow a universal law of distribution. We explain this (and a more general phenomenon for random band limited functions), its source and some possible connections to percolation.
Lecture 2: December 3, 2014 at 4:00pm
Title: "Nodal domains for Maass (modular) forms."
Abstract : The eigenstates of the quantization of a classically chaotic hamiltonian are expected to behave like random monochromatic waves .We discuss this in the context of the eigenfunctions on the modular surface-ie "Maass Forms ", and especially what can be proved about their nodal domains.
Lecture 3: December 4, 2014 at 4:00pm
Title: "Families of zeta functions, their symmetries and applications."
Abstract: The local statistical laws for the distribution of the zeros of the Riemann Zeta function and more generally of families of zeta functions ,follow one of 4 of the 10 universal random matrix ensembles. We review some this phenomenon ,especially in connection with applications.
Wednesday, January 21, 2015
Room: Abelson 229
Bard Ermentrout, University of Pittsburgh
Host: Paul Miller