Laboratory of Algebraic Geometry and Its Applications
This laboratory was established as part of a scientific research project supported with a monetary grant awarded by the Government of the Russian Federation under a grant competition designed to provide governmental support to scientific research projects implemented under the supervision of the world's leading scientists at Russian institutions of higher learning, research institutions of the governmental academies of sciences and governmental research centers of the Russian Federation (Resolution of the RF Government No.220 of April 9, 2010).
Grant Agreement No.: 11.G34.31.0023
Host institution of higher learning:
State educational budget institution of higher professional education "State University – Higher School of Economics"
Scientific research area:
To achieve new results in algebraic geometry, complex geometry, and differential geometry.
Key project objectives:
1. To prove the existence of rational curves and rational pints on K3-type surfaces;
2. To prove the global Torelli theorem and apply the proof to study geometry and topology of hyper-clear varieties;
3. To study motive structures in non-commutative geometry;
4. To study particular cases in homological mirror symmetry;
5. To research motive application of cyclical cosmologies within the context of non-commutative Tate hypothesis.
Anticipated project outputs:
The anticipated project outputs will find applications in theoretical physics, differential geometry, theory of numbers and problems of classification of complex varieties.
Leading scientist's full name: Bogomolov, Fyodor Alexeyevich
Academic degree and title:
Doctor of physical and mathematical sciences, professor
Professor at the Courant Institute of Mathematical Sciences in New York; scientific leader of the Laboratory of Algebraic Geometry and Its Applications at the National Research University – Higher School of Economics.
Field of scientific interests:
1. Algebraic geometry.
2. Theory of numbers and their representations.
Key scientific achievements:
The leading scientists primarily works in the field of algebraic geometry. His main works include, for instance, research in the field of Calabi-Yau spaces and stable bundles. One of the important foci of his work has to do with the interaction between contemporary algebraic geometry and the string theory.
- Honorary participant of several international conferences, including ones organized by the Institute of Commercial Management (1978) and the Tate Institute of Social Sciences (1991, 1992);
- Organiser or member of the organizing committees of a number of conferences on algebraic geometry, including the Yaroslavl conferences (1979, 1983, 1987), conferences of the Institute of Theoretical and Applied Mathematics in the USA (1998, 2001, 2003), and a number of others;
- Member of the editorial boards of the leading international scientific journals, including "Geometric and Functional Analyses" (since 1995), "Central European Journal of Mathematics" (since 2001 and chief editor – since 2009).
- Author of more than 100 articles on mathematics;
- Author or editor of seven books and lecture series on various topics in algebraic geometry;
- Oversees research activities of 13 graduate students nine of which study at the Courant Institute of Mathematical Sciences.
• Contents of the scientific research activities implemented in 2013-2014
• Project progress report for 2013
• Contents of the scientific research activities implemented in 2012
• Project progress report for 2012
• Contents of the scientific research activities implemented in 2011
• Project progress report for 2011
• Contents of the scientific research activities implemented in 2010
• Project progress report for 2010