Seminar Calendar
for events the day of Thursday, September 6, 2012.

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Thursday, September 6, 2012

Number Theory Seminar
11:00 am   in 241 Altgeld Hall,  Thursday, September 6, 2012
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Submitted by ford.
Bruce Berndt (UIUC Math)
Unpublished Manuscripts Published with Ramanujan's Lost Notebook
Abstract: Published with Ramanujan's lost notebook are several partial manuscripts. Some evidently were intended to be portions of papers that he had published. Others are partial manuscripts of papers that were never completed. In this lecture, we discuss examples of both types. For the former, we offer speculation on why Ramanujan never included the results in his published papers. The manuscripts are over a broad range of topics, including classical analysis, analytic number theory, diophantine approximation, and elementary mathematics.

Math/Theoretical Physics Seminar
12:00 pm   in 464 Loomis Laboratory,  Thursday, September 6, 2012
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Submitted by katz.
Olabode Sule (Illinois Physics)
von Neumann and Renyi Entanglment entropy in 2D CFTs
Abstract: For a given partition of the Hilbert space in quantum mechanical systems, we can ask how degrees of freedom in one part are entangled with those in the other. The entanglement entropy (the von Neumann and Renyi entanglement entropy) is a useful measure to quantify such entanglement. It has been proven to be a useful tool to study various properties of quantum field theories. We will review some results on the entanglement entropy in two-dimensional conformal field theories, focusing on how much information we can get from the scaling of the entanglement entropy. We would describe how the entanglement Renyi entropy is related to the construction of Riemann surfaces by gluing.

Graduate Geometry Topology Seminar
2:00 pm   in 241,  Thursday, September 6, 2012
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Submitted by collier3.
Anton Lukyanenko (UIUC Math)
What is geometric group theory and who cares?
Abstract: How do you tell if two groups are isomorphic? This is an extremely difficult task, but in certain cases attaching geometric notions to the groups makes it tractable and leads to new, intriguing geometries. The main example will come from the Heisenberg group, which with a (sub-)Riemannian metric becomes one of the 8 Thurston geometries.

Commutative Ring Theory
3:00 pm   in 243 Altgeld Hall,  Thursday, September 6, 2012
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Submitted by s-dutta.
Organizational Meeting

Mathematics Colloquium
4:00 pm   in 245 Altgeld Hall 245,  Thursday, September 6, 2012
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Submitted by kapovich.
Sheldon Katz (Departments of Mathematics and Physics, University of Illinois at Urbana-Champaign)
A Mathematician’s Search for The Higgs Boson
Abstract: The Higgs boson is the only elementary particle occurring in the Standard Model of physics which has not yet been conclusively observed experimentally, although a new particle sharing some characteristics of the sought-for Higgs has been recently observed at the Large Hadron Collider in Geneva and reported on extensively in the media. In this talk, I will explain the Higgs boson and the Standard Model in the language of modern mathematics. In particular, I will explain how the Higgs boson causes other elementary particles to acquire mass, and relate the theory to recent experiments at the LHC.