Algebraic varieties, their cycles, cohomologies and motives (including positive characteristics). Schemes. Commutative algebra. Low dimensional varieties. Singularities and classification. Birational geometry. Moduli spaces. Abelian varieties and p-divisible groups. Sheaves. Transcendental methods, topology of algebraic varieties. Complex differential geometry, Kahler manifolds and Hodge theory. Relations with mathematical physics and representation theory. Real algebraic and analytic sets. Rigid and p-adic analytic spaces. Non-commutative algebraic geometry.
INVITED SPEAKERS
Valery Alexeev
University of Georgia, Athens, USA
Higher-dimensional analogues of stable curves
Wednesday, August 23, 17:00-17:45
Jean-Benoît Bost
Université Paris-Sud, Orsay, France
Evaluation maps, slopes, and algebraization
Monday, August 28, 18:00-18:45Tom Bridgeland
University of Sheffield, Sheffield, United Kingdom
Derived categories of coherent sheaves
Saturday, August 26, 18:00-18:45
Lawrence Ein
University of Illinois at Chicago, Chicago, USA
and
University of California at Irvine, Irvine, USA
Invariants of singularities of pairs
Wednesday, August 23, 16:00-16:45
Tom Graber
University of California, Berkeley, USA
Rational curves and rational points
Thrusday, August 24, 17:00-17:45
Jun-Muk Hwang
Korea Institute for Advanced Study, Seoul, Korea
Geometric structures arising from varieties of minimal rational tangents
Saturday, August 26, 17:00-17:45
Tomohide Terasoma
University of Tokyo, Tokyo, Japan
Geometry of multiple zeta values
Thursday, August 24, 18:00-18:45
Yuri Tschinkel
Georg-August Universität Göttingen, Göttingen, Germany
and
Courant Institute, New York University, USA
Geometry over nonclosed fields
Monday, August 28, 17:00-17:45
Jaroslaw Wlodarczyk
Purdue University, West Lafayette, USA
Algebraic Morse theory and factorization of birational maps
Wednesday, August 23, 15:00-15:45