Department of

Mathematics


Seminar Calendar
for Mathematical Physics events the year of Tuesday, August 21, 2018.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
      July 2018             August 2018           September 2018   
 Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
  1  2  3  4  5  6  7             1  2  3  4                      1
  8  9 10 11 12 13 14    5  6  7  8  9 10 11    2  3  4  5  6  7  8
 15 16 17 18 19 20 21   12 13 14 15 16 17 18    9 10 11 12 13 14 15
 22 23 24 25 26 27 28   19 20 21 22 23 24 25   16 17 18 19 20 21 22
 29 30 31               26 27 28 29 30 31      23 24 25 26 27 28 29
                                               30                  

Monday, April 16, 2018

3:00 pm in 243 Altgeld Hall,Monday, April 16, 2018

The globalization of the Poisson sigma model in the BV-BFV formalism

Nima Moshayedi (University of Zurich)

Abstract: One of the central problems of mathematical physics is understanding how to pass from classical to quantum physics. One procedure that implements that passage, called deformation quantization, achieves quantization by deforming the Poisson algebra of classical observables into a non-commutative algebra of quantum observables. The algebraic structure of the quantum observables is determined by the star product, which is a formal deformation of the algebraic structure on the classical observables. Kontsevich showed that any Poisson manifold admits a star product and gave an explicit formula for it. The Poisson Sigma Model (PSM) is an AKSZ-theory closely related to deformation quantization. We will give a short introduction to the BV-BFV formalism, the PSM and discuss briefly how we can construct a globalized version of Kontsevich's star product using this formalism by extending a condition called the modi fied Quantum Master Equation to a differential version of it.

Monday, September 10, 2018

2:00 pm in 464 Loomis,Monday, September 10, 2018

Aspects, Generalizations, and Applications of the Holographic Entanglement of Purification

Ning Bao (UC Berkeley)

Abstract: In this talk, we will define, and motivate the holographic entanglement of purification and several generalizations thereof. We will then make some comments on applications of these quantities in the context of quantum information theory, quantum error correction and bulk reconstruction.

Thursday, September 27, 2018

12:30 pm in 464 Loomis,Thursday, September 27, 2018

Hecke Relations in Rational Conformal Field Theory

Jeffrey Harvey (U. of Chicago)

Abstract: Hecke operators that act on characters of rational conformal field theories are defined and we use these to show that many characters of different RCFTs are related by Hecke operators. These relations extend the previously studied Galois symmetry of the modular representations appearing in RCFT. Connections with modular linear differential equations will also be discussed.

Thursday, November 8, 2018

1:00 pm in 464 Loomis,Thursday, November 8, 2018

Holomorphic SCFTs of small index

Theo Johnson-Freyd (Perimeter)

Abstract: Stolz and Teichner have conjectured that the moduli space of D=1+1, N=(0,1) QFTs provides a geometric model for Topological Modular Forms. Some important building blocks in this moduli space are the holomorphic superconformal field theories, and the conjecture leads to predictions about the possible values the supersymmetric index of such SCFTs can take. Specifically, the conjecture leads one to predict the existence of SCFTs of small nonzero index, and that the minimal possible index depends in an interesting way on the central charge of the SCFT. I will explain a construction of some SCFTs of indexes equal to the predicted minimal values. The construction leads to a new divisibility result in the seemingly unrelated field of algebraic coding theory. Based on joint work with Davide Gaiotto and Noam D Elkies.