October 16, 2014
4:30 pm
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5:30 pm
CH 240
Title: Infinite-Dimensional Differential Operators in Quantum Yang-Mills Theory
Speaker: Alexander Dynin, The Ohio State University
Abstract: Mathematically, quantum field theory involves integration, and elliptic operators, on infinite-dimensional spaces. Naive attempts to formulate such notions in infinite dimensions lead to all sorts of trouble. To get somewhere, one needs the very delicate constructions considered in physics, constructions that at first sight look rather specialized to many mathematicians. For this reason, together with inherent analytical difficulties that the subject presents, rigorous understanding has tended to lag behind development of physics.