The Liouville conformal field theory is a well-known beautiful quantum field theory in physics describing random surfaces. Only recently a mathematical approach based on a well-defined path integral to this...
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About 10 years ago, Xinyi Yuan and Shouwu Zhang proved that if two holomorphic maps f and g on P^N have the same sets of preperiodic points (or if the...
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I will give a pedagogical review of the connection between electric-magnetic duality and the Geometric Langlands duality. *Note special time* ----- Subscribe to Harvard CMSA seminar videos (more to be...
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I will give a survey of the program of categorification for quantum groups, some of its recent development and applications to representation theory. Zoom link: https://harvard.zoom.us/j/95767170359 (Password: cmsa)
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I will give a finite-time algorithm that, on input (g,K,S) with g > 0, K a totally real number field of odd degree, and S a finite set of places...
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The Ising model, introduced in 1920, is one of the most well-studied models in statistical mechanics. It is known to undergo a phase transition at critical temperature, and has attracted considerable interest...
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In multi-agent systems the complex interaction of fixed incentives can lead agents to outcomes that are poor (inefficient) not only for the group but also for each individual agent. Price...
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Inspired by a result of Esnault and Srinivas on automorphisms of surfaces and recent advances in complex dynamics, Truong raised a question on the comparison of two dynamical degrees, which...
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Interacting particle models are often employed to gain understanding of the emergence of macroscopic phenomena from microscopic laws of nature. These individual-based models capture fine details, including randomness and discreteness...
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The knot homology (defined by Khovavov,Rozansky) provide us with a refinements of the knot polynomial knot invariant defined by Jones. However, the knot homology are much harder to compute compare...
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