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September 18, 2025, Professor Yujiro Kawamata from the University of Tokyo, was invited to give a talk
Posted on2025-09-17 by
  September 18, 2025, Professor Yujiro Kawamata from the University of Tokyo, was invited to give a talk. The title is "On non-commutative deformations of sheaves". For more information, see the poster.
  Yujiro Kawamata earned his Ph.D. from the University of Tokyo in 1980 and is currently a Distinguished Professor at the Graduate School of Mathematical Sciences, the University of Tokyo. He was involved in the development of the minimal model program in the 1980s. The program aims to show that every algebraic variety is birational to one of an especially simple type: either a minimal model or a Fano fiber space. The Kawamata-Viehweg vanishing theorem, strengthening the Kodaira vanishing theorem, is a method. Building on that, Kawamata proved the basepoint-free theorem. The cone theorem and contraction theorem, central results in the theory, are the result of a joint effort by Kawamata, Kollár, Mori, Reid, and Shokurov. After Mori proved the existence of minimal models in dimension 3 in 1988, Kawamata and Miyaoka clarified the structure of minimal models by proving the abundance conjecture in dimension 3. Kawamata used analytic methods in Hodge theory to prove the Iitaka conjecture over a base of dimension 1. More recently, a series of papers by Kawamata related the derived category of coherent sheaves on an algebraic variety to geometric properties in the spirit of minimal model theory. He won the Mathematical Society of Japan Autumn award (1988) and the Japan Academy of Sciences award (1990) for his work in algebraic geometry.
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