Title: Concepts of Geometry in Condensed Matter Physics
Xu Yang (The Ohio State University), 7/27, 7/29, 7/31, 8/2, 8/4, 8/6, 8/8, 20:00-22:00
Course Overview: I will focus on the role of geometry in condensed matter physics. I will develop necessary mathematical techniques in solving physics-motivated problems along the way. Topics including the Fermi liquid theory, quantum Hall effects, response theories and quasi-crystals will be discussed. Mathematical tools of Morse theory and algebraic topology will be introduced. This short course will be lectures aiming at providing students with a perspective of the role of geometry in condensed matter physics. Students with a general physics and math background (~level of sophomore) and a certain degree of mathematical maturity are encouraged to enroll.
Course contents: I will be focusing on the following topics.
Homework Policy: There will be homework problems to help students get familiar with ideas and calculations. In addition, I would recommend students write a term paper about interesting topics related to geometry in condensed matter physics. I will provide references if students need guidance/advice on the potential topics of their interest.
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Matthew Welsh (University of Bristol), 11/5, 10:00AM-11:59AM
Invariance of plurigenera for generalized pairs with abundant nef parts (I)&(II)
Zhan Li (SUSTech), 10/22, 10/24, 10:00AM-11:59AM
Big quantum cohomology of Fano complete intersections
Xiaowen Hu (Sun Yat-sen University), 10/15, 10:00AM-11:59AM
Kudla Rapoport conjecture over the ramified primes
Yousheng Shi (University of Wisconsin-Madison), 5/27, 10:00AM-11:59AM