Upcoming Seminars

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Week of December 10 2017

Sun Dec 10, 2017

5:00 pm - NS 1201 - Mathematical Physics
Anton Kapustin - (Caltech)

We describe a 2d analog of the Jordan-Wigner transformation which maps an arbitrary fermionic system on a 2d lattice to a lattice gauge theory while preserving the locality of the Hamiltonian. When the space is simply-connected, this bosonization map is an equivalence. We describe several examples of 2d bosonization, including free fermions on square and honeycomb lattices and the Hubbard model. We describe Euclidean actions for the corresponding lattice gauge theories and find that they contains Chern-Simons-like terms.

Mon Dec 11, 2017

10:00 am - Natural Sciences II, Room 1201 - Advancement to Candidacy Examination
Daniel Bergman - (University of California, Irvine - Department of Mathematics)

Thu Dec 14, 2017

2:00 pm - Rh 340P - Mathematical Physics
Yunfeng Shi - (Fudan University)

We consider the spectral gaps of quasi-periodic Schrodinger operators with Liouville frequencies. By establishing quantitative reducibility of the associated Schrodinger cocycle,  we show that the size of the spectral gaps decays exponentially. This is a joint work with Wencai Liu.