xii SCIENTIFIC PROGRAM

P. Vermeire, The moduli of rank 2 reflexive sheaves on smooth 3-folds

J. Wlodarczyk, Factorization of birational maps

A. Yong, On smoothness and Gorensteinness of Schubert varieties

J. Zhang, On the D-dimension of certain types of threefolds

Third week

Plenary lectures

B. Conrad, The role of algebraic geometry in modularity theorems

D. Gaitsgory, Local geometric Langlands correspondence and representations of

aﬃne algebras

P. Griﬃths, Hodge theoretic invariants of algebraic cycles

P. Griﬃths, On the tangent space to the space of algebraic cycles

F. Loeser, Lectures on motivic integration

Seminar lectures

D. Arinkin, Quantum groupoids and completely integrable systems

P. Balmer, Support varieties for triangulated categories

S. Bloch, Motives associated to graphs

A. Bondal, Derived categories of toric varieties

C. Chin, Independence of of monodromy groups

B. Conrad, Root numbers and ranks

M. De Cataldo, The Hodge theory of algebraic maps

J. De Jong, Brauer groups I: moduli of Azumaya algebras

J. Ellenberg, Asymptotics and upper bounds for rational points on algebraic vari-

eties

M. Garuti, Barsotti-Tate groups and representations of the fundamental group

scheme

E. Gasparim, Holomorphic surgery and topology of moduli spaces

A. Ghitza, Theta operator for Siegel modular forms

R. Hain, Hyperelliptic motives

W. Haboush, Generalized Bruhat decompositions and inﬁnite lattice varieties: an

introduction to Langlands duals in the theory of loop and looplike spaces

B. Hassett, Weak approximation for rationally connected varieties over

function ﬁelds of curves

B. Hassett, Density of rational points on K3 surfaces

D. Kaledin, Derived equivalences by quantization

N. Katz, Easy open questions on ﬁnite ﬁelds

K. Kedlaya, p-adic diﬀerential equations and p-adic cohomology: recent progress

S. Kimura, On ﬁnite dimensionality of motives

D. Krashen, Zero cycles on homogeneous varieties

A. Kresch, Progress on the geometry of Deligne-Mumford stacks

M. Larsen, Criteria for -adic monodromy to be large

K. Lauter, Constructing genus 2 curves with applications to cryptography

M. Lieblich, Brauer groups II: Twisted sheaves and applications

J. Lurie, Elliptic cohomology and derived algebraic geometry

I. Mirkovic, Lie algebras in positive characteristic: geometry and Langlands duality

T. Mochizuki, Tame harmonic bundles and their applications