IntroductionThe notion of height was invented by André Weil to prove the famous Mordell's conjecture (if A is an abelian variety defined over a number field K, then A(K) is a finitely generated abelian group). In this class, we will study some properties of the logarithmic, absolute Weil height. We will also discuss about open problems related to this useful tool. At the end, we will construct ...
PrerequisiteA basic knowledge of quantum mechanics is required.AbstractThis course will provide a general introduction to the theoretical part of tensor networks. The main contents include symmetric tensor network representation, fermionic tensor network representation, tensor network representation of typical topological quantum states, as well as connections between tensor network representat...
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