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Maxim Kontsevich: “Geometry from the perspective of quantum mechanics and string theory”I will explain some basic mechanisms of the emergence of geometry fro...
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- Università degli Studi dell'Insubria
Nov 12, 2021 · 3. Kontsevich’s result 6 3.1. Formal star products 7 3.2. Formal Poisson structures 10 3.3. Kontsevich’s theorem 10 4. The formality theorem 11 4.1. Di erential graded Lie algebras 11 4.2. DGLA examples 11 4.3. The Maurer-Cartan equation 13 4.4. Gauge groups 13 4.5. The HKR map 14 4.6. L-in nity morphisms 15 4.7. The formality theorem 16 5 ...
In 1992, Kontsevich was appointed to a full professorship in mathematics at the University of California, Berkeley, before moving in 1995 to France, Just think about it, in 1994/95 there were eight Fields medalists in Evans Hall: RB, VJ, MK, CM, AO, GP, SS, WT. What a time to be in Berkeley. He who controls the parking spaces, controls the world.
By convention, the term in the Kontsevich integral corresponding tom=0is the (only) chord diagram of order 0 with coefficient one. It represents the unit of the algebra A. 2.2. CONVERGENCE OF THE INTEGRAL. The integrand of the Kontsevich integral may have singularities near the boundaries of the connected components.
Affiliation. Mathematics. From Documenta Mathematica: "Maxim Kontsevich is known principally for his work on four major problems in geometry. In each case, it is fair to say that Kontsevich's work and his view of the issues has been tremendously influential to subsequent developments. These four problems are:
Maxim Kontsevich Maxim Kontsevich was born on August 25, 1964, in Moscow. He received his doctoral degree from the University of Bonn, under the direction of Don B. Zagier. After holding a professorship at Richard Borcherds William Timothy Gowers Maxim Kontsevich Curtis T. McMullen Photographs courtesy of the ICM, Berlin, 1998.
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