Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes: Quasi-Coherent Torsion Sheaves, the Semiderived Category, and the Semitensor Product

Author:   Leonid Positselski
Publisher:   Birkhauser Verlag AG
Edition:   1st ed. 2023
ISBN:  

9783031379048


Pages:   216
Publication Date:   16 September 2023
Format:   Hardback
Availability:   In Print   Availability explained
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Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes: Quasi-Coherent Torsion Sheaves, the Semiderived Category, and the Semitensor Product


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Author:   Leonid Positselski
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1st ed. 2023
Weight:   0.524kg
ISBN:  

9783031379048


ISBN 10:   3031379047
Pages:   216
Publication Date:   16 September 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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"Leonid Positselski did his undergraduate studies in Moscow in 1988-93 and received his Ph.D. in Mathematics from Harvard University in 1998. After a series of postdoctoral positions in the U.S. and Europe, he returned to Moscow in 2003. His first book was published in 2005 and the second one in 2010. In 2011-14 he taught as an Associate Professor at the Faculty of Mathematics of the Higher School of Economics in Moscow. Positselski emigrated from Russia to Israel in Spring 2014. Since 2018, he works as a researcher at the Institute of Mathematics of the Czech Academy of Sciences in Prague. Positselski is an algebraist specializing in Homological Algebra and homological aspects of various branches of the ""algebraic half"" of mathematics, including algebraic geometry, representation theory, commutative algebra, and algebraic K-theory.  He is known for his work on Koszul algebras and derived Koszul duality, as well as curved DG-rings, coderived and contraderived categories, and contramodules. Positselski penned more than 45 research papers and two survey papers. He is the author of five books and memoirs, including ""Quadratic Algebras"" (joint with A. Polishchuk, AMS University Lecture Series, 2005), ""Homological algebra of semimodules and semicontramodules: Semi-infinite homological algebra of associative algebraic structures"" (Monografie Matematyczne IMPAN, Birkhäuser Basel, 2010), ""Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence"" (AMS Memoir, 2011), ""Weakly curved A-infinity algebras over a topological local ring"" (SMF Memoir, 2018-19), and ""Relative nonhomogeneous Koszul duality"" (Frontiers in Mathematics, Birkhäuser Switzerland, 2021-22)."

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