# Mathematical Sciences Research Institute

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1. # WorkshopTropical Structures in Geometry and Physics

Mark Gross ( University of California San Diego), Kentaro Hori (University of Toronto), Viatcheslav Kharlamov (Université de Strasbourg (Louis Pasteur), Richard Kenyon* (Brown University)

One of the successes of tropical geometry is its applications to a number of different areas of recently developing mathematics. Among these are enumerative geometry, symplectic field theory, mirror symmetry, dimer models/random surfaces, amoebas and algas, instantons, cluster varieties, and tropical compactifications. While these fields appear quite diverse, we believe the common meeting ground of tropical geometry will provide a basis for fruitful interactions between participants.

Nov 30, 2009
Monday
 09:00 AM - 10:00 AM Reduced degenerations and Frobenius splitting Allen Knutson (Cornell University) 11:00 AM - 12:00 PM Teichmuller space, cluster algebras from surfaces, and the positivity conjecture Lauren Williams (University of California, Berkeley) 01:30 PM - 02:30 PM Determinental hypersurfaces, convex polynomials and tropical geometry David Speyer (Massachusetts Institute of Technology) 03:00 PM - 04:00 PM Some aspects of discriminantal (co)amoebas Mikael Passare 04:15 PM - 05:15 PM Complex Tropical Geometry Oleg Viro (SUNY)
Dec 01, 2009
Tuesday
 09:30 AM - 10:30 AM Tropical (p,q)-classes of Lagrangian type Ilia Zharkov 11:00 AM - 12:00 PM Real tropical enumerative invariants Eugenii Shustin 01:30 PM - 02:30 PM Relative open Gromov-Witten invariants Rares Rasdeaconu 03:00 PM - 04:00 PM Realizability of superabundant tropical curves Erwan Brugalle 04:15 PM - 05:15 PM Tropical descendant Gromov-Witten invariants Hannah Markwig
Dec 02, 2009
Wednesday
 09:00 AM - 10:00 AM On the compactification of the parameter space of convex projective structures Daniele Alessandrini (Ruprecht-Karls-Universität Heidelberg) 11:00 AM - 12:00 PM Towards a Tropical Fukaya Category Mohammed Abouzaid (Columbia University)
Dec 03, 2009
Thursday
 09:00 AM - 10:00 AM Real enumerative geometry via the topological string Daniel Krefl 11:00 AM - 12:00 PM (p,q) webs and their applications in string theory Amihay Hanany 01:30 PM - 02:30 PM Tropical geometry and (p,q) webs Barak Kol 03:00 PM - 04:00 PM Tropical Geometry and the Topological String Mina Aganagic (University of California, Berkeley) 04:15 PM - 05:15 PM Dequantization and tropical structures in classical mechanics and classical geometry Grigory Litvinov
Dec 04, 2009
Friday
 09:00 AM - 10:00 AM The Hilbert geometry of the n-simplex Stephan Tillmann 11:00 AM - 12:00 PM Smoothing surface singularities via mirror symmetry Paul Hacking 01:30 PM - 02:30 PM Calabi-Yau mirrors via tropical geometry Janko Boehm 03:00 PM - 04:00 PM Tropical curves and Gromov Witten invariants Brett Parker
2. # WorkshopAlgebraic Structures in the Theory of Holomorphic Curves

Mohammed Abouzaid* ( Clay Mathematics Institute), Yakov Eliashberg (Stanford University), Kenji Fukaya (Kyoto University), Eleny Ionel (Stanford University), Lenny Ng (Duke University), Paul Seidel (MIT).

The theory of holomorphic curves in symplectic manifolds leads
to rich algebraic structures. The study of these structures is
increasingly important both for understanding the theory itself, and
for actual computations and applications. The aim of the workshop
is to survey ongoing developments in the area. Some of the topics
of interest are: cohomological field theories; relative and tropical
Gromov-Witten invariants; Symplectic Field Theory (SFT) and connections
with string topology; theories of holomorphic curves with Lagrangian
boundary conditions, such as relative SFT, open Gromov-Witten theory,
and Fukaya categories.

Nov 16, 2009
Monday
 09:15 AM - 10:15 AM Hamiltonian systems and topological recursion in SFT Paolo Rossi 11:00 AM - 12:00 PM "Quilts and A-infinity structures" Sikimeti Ma'u 01:15 PM - 02:15 PM Monoids of moduli spaces of manifolds Soren Galatius (Stanford University) 02:30 PM - 03:30 PM "Integrable hierarchies of the topological type" Boris Dubrovin (International School for Advanced Studies (SISSA/ISAS)) 04:00 PM - 05:00 PM On the Virasoro constraints for toric fibrations Alexander Givental
Nov 17, 2009
Tuesday
 09:30 AM - 10:30 AM Legendrian contact homology and symplectic homology in dimension four Tobias Ekholm 11:00 AM - 12:00 PM Morphisms of CohFT's and the mirror map Christopher Woodward 01:15 PM - 02:15 PM Some remarks on symplectic and contact homology Kai Cieliebak 02:30 PM - 03:30 PM The Gysin exact sequence for S1-equivariant symplectic homology Frédéric Bourgeois 04:00 PM - 05:00 PM Symplectc homology and Lagrangian submanifolds of C^n Janko Latschev
Nov 18, 2009
Wednesday
 09:00 AM - 10:00 AM On generating Fukaya categories Mohammed Abouzaid (Columbia University) 10:15 AM - 11:15 AM Exotic symplectic structures on cotangent bundles of spheres from the A_m singularity Maksim Maydanskiy 11:30 AM - 12:30 PM Universal Equations for Gromov-Witten invariants Xiaobo Liu
Nov 19, 2009
Thursday
 09:30 AM - 10:30 AM Lagrangian surgery and rigid analytic family of Floer homologies Kenji Fukaya (Kyoto Sangyo University) 11:00 AM - 12:00 PM On the obstructed Lagrangian Floer theory Cheol-Hyun Cho 01:15 PM - 02:15 PM Lagrangian Floer theory on symplectic resolutions of singular toric surfaces Kaoru Ono 02:30 PM - 03:30 PM Fukaya categories of pencils of quadrics Ivan Smith
Nov 20, 2009
Friday
 09:30 AM - 10:30 AM Coherent-constructible correspondence and homological mirror symmetry for toric varieties and toric orbifolds Chiu-Chu Liu 11:00 AM - 12:00 PM Pairs, BPS states, and knot invariants. Rahul Pandharipande (Eidgenössische TH Zürich-Hönggerberg) 01:15 PM - 02:15 PM Gauged mirror symmetry and Landau-Ginzburg potentials in the Brauer group Constantin Teleman (UC Berkeley Math Faculty) 02:30 PM - 03:30 PM Genus one GW-invariants of quintics revisited Jun Li (Stanford University) 04:00 PM - 05:00 PM Log Gromov-Witten invariants Mark Gross (University of California)
3. # WorkshopTropical Geometry in Combinatorics and Algebra

Federico Ardila* (San Francisco State University), David Speyer (MIT), Jenia Tevelev (U Mass Amherst), Lauren Williams (Harvard)

This workshop will concentrate on tropical methods in Combinatorics
and Algebra. Some of the topics we expect to explore are
tropical ideas and methods in combinatorial linear algebra and in
combinatorial representation theory, as well as computational issues and applications of tropical methods in algebraic statistics.

Oct 12, 2009
Monday
 09:30 AM - 10:30 AM Topology of compactified tropicalizations Sam Payne (Yale University) 11:00 AM - 12:00 PM Newton polyhedra and Minkowski integrals. Alex Esterov 02:00 PM - 03:00 PM Realization Spaces for Tropical Varieties Eric Katz
Oct 13, 2009
Tuesday
 09:30 AM - 10:30 AM Geometric crystals and tropical combinatorics Arkady Berenstein (University of Oregon) 11:00 AM - 12:00 PM Bases of tropical Plucker functions, wirings, tilings and Leclerc-Zelevinsky conjectures. Gleb Koshevoy 02:00 PM - 03:00 PM Tropical geometry and dissimilarity vectors of trees Filip Cools 04:00 PM - 05:00 PM Tropicalization of Teichmuller spaces Daniele Alessandrini (Ruprecht-Karls-Universität Heidelberg)
Oct 14, 2009
Wednesday
 09:00 AM - 10:00 AM Tropical analytic geometry and the Bogomolov conjecture Walter Gubler 10:30 AM - 11:30 AM Linear Systems on Tropical Curves Josephine Yu 11:45 AM - 12:45 PM Tropical bounds on effective cycles Diane Maclagan (University of Warwick)
Oct 15, 2009
Thursday
 09:30 AM - 10:30 AM Metric properties of the tropical Abel-Jacobi map Matthew Baker 11:00 AM - 12:00 PM On the tropical Torelli map Filippo Viviani 02:00 PM - 03:00 PM Enumeration of plane curves and labeled floor diagrams Sergey Fomin (University of Michigan)
Oct 16, 2009
Friday
 09:30 AM - 10:30 AM Coarse tropical convexity and cellular resolutions Michael Joswig 10:30 AM - 11:00 AM Brief Software Tutorial Michael Joswig 11:00 AM - 12:00 PM Combinatorics and genus of tropical intersections and Ehrhart theory Thorsten Theobald 02:00 PM - 03:00 PM Tropical cycles and Chow polytopes Alex Fink 04:00 PM - 05:00 PM Buildings and tropical geometry Annette Werner
4. # WorkshopHot Topics: Black Holes in Relativity

Mihalis Dafermos (University of Cambridge) and Igor Rodnianski* (Princeton)

The mathematical study of the dynamics of the Einstein equations forms a central part of both partial differential equations and geometry, and is intimately related to our current physical understanding of gravitational collapse.

Sep 14, 2009
Monday
 10:00 AM - 11:00 AM An introduction to the problem of evolution in general relativity Mihalis Dafermos (Princeton University) 11:30 AM - 12:30 PM Formation of black holes Demetrios Christodoulou 02:00 PM - 03:00 PM The characteristic initial value problem in General Relativity Alan Rendall
Sep 15, 2009
Tuesday
 10:00 AM - 11:00 AM Formation of black holes Demetrios Christodoulou 11:30 AM - 12:30 PM Aspects of marginally trapped surfaces in 2+1 and higher dimensional gravity Greg Galloway (University of Miami) 02:00 PM - 03:00 PM Constraint equations of General Relativity James Isenberg (University of Oregon)
Sep 16, 2009
Wednesday
 10:00 AM - 11:00 AM Formation of black holes Demetrios Christodoulou 11:30 AM - 12:30 PM On black holes uniqueness Spyridon Alexakis 02:00 PM - 03:00 PM Formation of black holes Demetrios Christodoulou 03:00 PM - 04:00 PM ADM revisited Robert Bartnik
Sep 17, 2009
Thursday
 10:00 AM - 11:00 AM Formation of black holes Demetrios Christodoulou 11:30 AM - 12:30 PM The black hole stability problem Mihalis Dafermos (Princeton University) 02:00 PM - 03:00 PM Hidden symmetries and decay for the wave equation in Schwarzschild and Kerr spacetimes Pieter Blue (University of Edinburgh) 02:30 PM - 03:00 PM The massive wave equation on Kerr-AdS spacetimes Gustav Holzegel (Imperial College, London) 03:30 PM - 04:00 PM The Klein-Gordon equation on asymptotically de Sitter spaces Mihai Tohaneanu 04:00 PM - 04:30 PM The Klein-Gordon equation on asymptotically de Sitter spaces Dean Baskin (Northwestern University)
Sep 18, 2009
Friday
 10:00 AM - 11:00 AM On the short pulse method and its applications Igor Rodnianski (Massachusetts Institute of Technology) 11:30 AM - 12:30 PM Quasinormal modes (resonances) for black holes Maciej Zworski (University of California, Berkeley) 02:00 PM - 03:00 PM Quasi-local mass Mu-Tao Wang (Columbia University)
5. # WorkshopIntroductory Workshop: Tropical Geometry

Eva Maria Feichtner (U Bremen), Ilia Itenberg* (U Strasbourg), Grigory Mikhalkin (U Genève), Bernd Sturmfels (UC Berkeley)

This workshop is to lay the foundations for the upcoming program. Mini-courses comprising lectures and exercise/discussion sessions will cover the foundational aspects of tropical geometry as well as its connections with adjacent areas: symplectic geometry, several complex variables, algebraic geometry (in particular enumerative and computational aspects) and geometric combinatorics. The mini-courses will be augmented by research talks on current tropical develpoments to open the scene and set up new goals in the beginning semester.

Aug 24, 2009
Monday
 09:15 AM - 10:15 AM Real aspects of tropical geomerty I Ilia Itenberg 11:00 AM - 12:00 PM Complex amoebas and coamoebas I Mikael Passare 02:00 PM - 03:00 PM Introduction to tropical algebraic geometry I Diane Maclagan (University of Warwick)
Aug 25, 2009
Tuesday
 09:30 AM - 10:30 AM Real aspects of tropical geomerty II Ilia Itenberg 11:00 AM - 12:00 PM Introduction to tropical algebraic geometry II Diane Maclagan (University of Warwick) 02:00 PM - 03:00 PM Tropical Elimination Theory I Evgueni Tevelev 04:00 PM - 05:00 PM Real Algebraic Geometry, Tropical Geometry and Total Curvature Jean-Jacques Risler
Aug 26, 2009
Wednesday
 09:30 AM - 10:30 AM Complex amoebas and coamoebas II Mikael Passare 11:00 AM - 12:00 PM Tropical Elimination Theory II Evgueni Tevelev 02:00 PM - 03:00 PM Some tropical aspects of mirror symmetry I Denis Auroux (University of California, Berkeley) 04:00 PM - 05:00 PM A naive approach to the implicitization of rational varieties using tropical tools Alicia Dickenstein (University of Buenos Aires)
Aug 27, 2009
Thursday
 09:30 AM - 10:30 AM Real aspects of tropical geomerty III Ilia Itenberg 11:00 AM - 12:00 PM Introduction to tropical algebraic geometry III Diane Maclagan (University of Warwick) 02:00 PM - 03:00 PM Some tropical aspects of mirror symmetry II Denis Auroux (University of California, Berkeley) 04:00 PM - 05:00 PM Symplectic perspectives on tropical geometry Mohammed Abouzaid (Columbia University)
Aug 28, 2009
Friday
 09:30 AM - 10:30 AM Complex amoebas and coamoebas III Mikael Passare 11:00 AM - 12:00 PM Tropical Elimination Theory III Evgueni Tevelev 02:00 PM - 03:00 PM Some tropical aspects of mirror symmetry III Denis Auroux (University of California, Berkeley) 04:00 PM - 05:00 PM Towards canonical theta functions for Calabi-Yaus Mark Gross (University of California)
6. # WorkshopConnections for Women: Tropical Geometry

Alicia Dickenstein* (U Buenos Aires), Eva Maria Feichtner* (U Bremen)

The aim of this workshop is to introduce advanced graduate students and postdocs to tropical geometry. Various aspects of this multi-faceted field will be highlighted in two short-courses comprising lectures and exercise/discussion sessions as well as in research talks. The workshop will thus provide the participants with
an excellent introduction to the forthcoming events of the program. The scientific part will be complemented by a round table discussion on career issues of female mathematicians.

Aug 22, 2009
Saturday
 09:30 AM - 10:30 AM Minicourse: Linearity in the tropics I Federico Ardila (San Francisco State University) 11:00 AM - 12:00 PM Minicourse: Counting Tropical plane curves I Hannah Markwig 02:00 PM - 02:40 PM Tropical Varities, elimination, and mixed fiber polytypes Josephine Yu 02:50 PM - 03:30 PM Tropical inflection points of tropical planar curves Lucia Lopez de Medrano
Aug 23, 2009
Sunday
 09:30 AM - 10:30 AM Minicourse: Linearity in the tropics II Federico Ardila (San Francisco State University) 11:00 AM - 12:00 PM Minicourse: Counting tropical plane curves II Hannah Markwig 02:00 PM - 02:40 PM Buildings and tropical geometry Annette Werner 02:50 PM - 03:30 PM Tropical linear independence and symmetrization of the tropical semiring Marianne Akian 04:00 PM - 05:00 PM Short talks Thomas Markwig, Kirsten Schmitz, Anne Shiu 05:00 PM - 05:50 PM The tropical Grassmannian and its positive part Lauren Williams
7. # WorkshopIntroductory Workshop: Symplectic and Contact Geometry and Topology

John Etnyre* (Georgia Institute of Technology), Dusa McDuff (Barnard College, Columbia University), and Lisa Traynor (Bryn Mawr).

This workshop aims both to introduce
people to a broad swath of the field
and to frame its most important problems.
Each day will be organized around a
basic topic, such as how to count holomorphic
curves with boundary on a Lagrangian submanifold (which
leads to various versions of Floer theory)
or how to understand the general structure of
symplectic and contact manifolds.
There will also be an introduction to the
analytic and algebraic aspects of symplectic
field theory, and a discussion of some applications.

Aug 17, 2009
Monday
 09:15 AM - 10:15 AM Historical overview, motivating problems and basic background Dusa McDuff (Barnard College) 11:00 AM - 12:00 PM Basic background, ctd Dusa McDuff (Barnard College) 01:30 PM - 03:00 PM Floer Homology Peter Albers 03:45 PM - 05:00 PM Lagrangian Floer Homology Sikimeti Ma'u
Aug 18, 2009
Tuesday
 09:00 AM - 10:15 AM Obstruction in Lagrangian Floer Theory Mohammed Abouzaid (Columbia University) 11:00 AM - 12:00 PM Symplectic Homology Mark McLean 01:45 PM - 03:00 PM Algebraic formalism of Symplectic Field Theory (SFT) Yakov Eliashberg (Stanford University) 03:45 PM - 05:00 PM Analytic foundations of SFT Helmut Hofer (Institute for Advanced Study)
Aug 19, 2009
Wednesday
 09:00 AM - 10:15 AM Open book decompositions and the Giroux correspondence John Etnyre (Georgia Institute of Technology) 11:00 AM - 12:00 PM Lefschetz fibrations and 4-manifolds Denis Auroux (University of California, Berkeley) 01:45 PM - 03:00 PM Algebraic formalism of SFT ctd Yakov Eliashberg (Stanford University) 03:45 PM - 05:00 PM Analytic foundations of SFT ctd Helmut Hofer (Institute for Advanced Study)
Aug 20, 2009
Thursday
 09:00 AM - 10:15 AM Convex surfaces and classification of contact structures Ko Honda 11:00 AM - 12:00 PM Analytic foundations: polyfold structures for holomorphic disks Katrin Wehrheim (Massachusetts Institute of Technology) 01:45 PM - 03:00 PM Knot homology Lenhard Ng 04:00 PM - 05:00 PM Wide - narrow dichotomy for Lagrangians submanifolds Octav Cornea
Aug 21, 2009
Friday
 09:00 AM - 10:00 AM Integrable systems of SFT Paolo Rossi 10:30 AM - 11:20 AM High dimensional Lefschetz fibrations and Floer homology Maksim Maydanskiy 11:30 AM - 12:20 PM Problem session Lisa Traynor (Bryn Mawr College) 02:00 PM - 03:00 PM Quasi-states and quasi-morphisms in symplectic topology Michael Entov 04:00 PM - 05:00 PM Periodic orbits in Hamiltonian dynamics Victor Ginzburg (University of Chicago)
8. # WorkshopConnections for Women: Symplectic and Contact Geometry and Topology

Eleny Ionel (Stanford University), Dusa McDuff* (Barnard College, Columbia University).

This will form a bridge between
the graduate student workshop which will just be ending and
the Introductory workshop. After some
elementary talks describing some of the main questions
in the field, there will be an extended discussion session
intended to explain basic concepts to those unfamiliar with the area.
There will also be an opportunity for young researchers in the field
to present their work, and an evening social event.

Aug 14, 2009
Friday
 01:30 PM - 02:00 PM Quilted disks, multiplihedra, and $$A_\infty$$ functors Sikimeti Ma'u 02:15 PM - 02:45 PM Monotone Lagrangian embeddings into cotangent bundles Agnès Gadbled 04:00 PM - 05:00 PM Contact invariant in Sutured Floer Homology Gordana Matic
Aug 15, 2009
Saturday
 09:00 AM - 10:00 AM Symplectic circle actions with minimal fixed sets Susan Tolman 10:30 AM - 11:00 AM Homoclinic points and Floer homology Sonja Hohloch 11:15 AM - 11:45 AM Contact Non-Squeezing via Generating Functions Sheila Sandon 01:30 PM - 02:00 PM Topology of symplectomorphism groups Olguta Buse 02:15 PM - 02:45 PM The self-linking number in annulus open book decompositions Elena Pavelescu
9. # Summer Graduate SchoolSummer Graduate Workshop: Symplectic and Contact Geometry and Topology

John Etnyre (Georgia Institute of Technology), Dusa McDuff* (Barnard College, Columbia University) and Lisa Traynor (Bryn Mawr College).

Symplectic and Contact Topology has undergone rapid and exciting growth
in the past few decades and is currently a rich subject, employing a variety of diverse techniques and touching on many areas of mathematics, such as algebraic and differential geometry, dynamical systems and low dimensional topology. This workshop is intended both for graduate students new to the
area and for those working in the field.
Lectures in the first week will introduce participants to basic topological, geometric and analytic techniques, including J-holomorphic curves. The second week will discuss applications to symplectic geometry and to 3-dimensional topology and knot theory. A variety of discussion
sessions in the afternoon will cater to the differing interests of the students. Participants may consider staying for the Connections for Women and/or the Introductory workshop to the year long Symplectic Geometry program that starts just after this workshop.

Aug 03, 2009
Monday
 09:15 AM - 10:15 AM Introduction to Symplectic Geometry and Topology - Symington I Margaret Symington 10:45 AM - 11:45 AM Introduction to Symplectic Geometry and Topology - Symington I I Margaret Symington 01:30 PM - 02:30 PM Introduction to Symplectic & Contact Geometry & Topology -Etnyre I John Etnyre (Georgia Institute of Technology)
Aug 04, 2009
Tuesday
 09:00 AM - 10:00 AM Introduction to Symplectic & Contact Geometry & Topology -Etnyre II John Etnyre (Georgia Institute of Technology) 10:30 AM - 11:30 AM Introduction to Symplectic Geometry and Topology - Symington III Margaret Symington 01:00 PM - 02:00 PM Introduction to Symplectic & Contact Geometry & Topology - Wehrheim I Katrin Wehrheim (Massachusetts Institute of Technology)
Aug 05, 2009
Wednesday
 09:00 AM - 10:00 AM Introduction to Symplectic & Contact Geometry & Topology -Etnyre III John Etnyre (Georgia Institute of Technology) 10:30 AM - 11:30 AM Introduction to Symplectic Geometry and Topology - Symington IV Margaret Symington 01:45 PM - 02:45 PM Introduction to Symplectic & Contact Geometry & Topology - Wehrheim II Katrin Wehrheim (Massachusetts Institute of Technology)
Aug 06, 2009
Thursday
 09:00 AM - 10:00 AM Introduction to Symplectic & Contact Geometry & Topology -Etnyre IV John Etnyre (Georgia Institute of Technology) 10:30 AM - 11:30 AM Introduction to Symplectic Geometry and Topology - Symington V Margaret Symington 01:00 PM - 02:00 PM Introduction to Symplectic & Contact Geometry & Topology - Wehrheim III Katrin Wehrheim (Massachusetts Institute of Technology)
Aug 07, 2009
Friday
 09:00 AM - 10:00 AM Introduction to Symplectic & Contact Geometry & Topology -Etnyre V John Etnyre (Georgia Institute of Technology) 10:30 AM - 11:30 AM Introduction to Symplectic & Contact Geometry & Topology - Wehrheim IV Katrin Wehrheim (Massachusetts Institute of Technology) 01:00 PM - 02:00 PM Introduction to Symplectic & Contact Geometry & Topology - Wehrheim V Katrin Wehrheim (Massachusetts Institute of Technology)
Aug 10, 2009
Monday
 09:00 AM - 10:00 AM Introduction to Symplectic & Contact Geometry & Topology - McDuff I Dusa McDuff (Barnard College) 10:30 AM - 11:30 AM Introduction to Symplectic & Contact Geometry & Topology - Ng I Lenhard Ng 01:00 PM - 02:00 PM Introduction to Symplectic & Contact Geometry & Topology - Kerman I Ely Kerman
Aug 11, 2009
Tuesday
 09:00 AM - 10:00 AM Introduction to Symplectic & Contact Geometry & Topology - McDuff II Dusa McDuff (Barnard College) 10:30 AM - 11:30 AM Introduction to Symplectic & Contact Geometry & Topology - Ng II Lenhard Ng 01:00 PM - 02:00 PM Introduction to Symplectic & Contact Geometry & Topology - Kerman II Ely Kerman
Aug 12, 2009
Wednesday
 09:00 AM - 10:00 AM Introduction to Symplectic & Contact Geometry & Topology - McDuff III Dusa McDuff (Barnard College) 10:30 AM - 11:30 AM Introduction to Symplectic & Contact Geometry & Topology - Ng III Lenhard Ng 01:00 PM - 02:00 PM Introduction to Symplectic & Contact Geometry & Topology - Kerman III Ely Kerman
Aug 13, 2009
Thursday
 09:00 AM - 10:00 AM Introduction to Symplectic & Contact Geometry & Topology - McDuff IV Dusa McDuff (Barnard College) 10:30 AM - 11:30 AM Introduction to Symplectic & Contact Geometry & Topology - Ng IV Lenhard Ng 01:00 PM - 02:00 PM Introduction to Symplectic & Contact Geometry & Topology - Kerman IV Ely Kerman
Aug 14, 2009
Friday
 09:15 AM - 10:15 AM Introduction to Symplectic & Contact Geometry & Topology - Ionel Eleny-Nicoleta Ionel (Stanford University) 11:00 AM - 12:00 PM Explorations in Symplectic Topology via Generating Families Lisa Traynor (Bryn Mawr College) 01:30 PM - 03:00 PM Further directions and open problems John Etnyre (Georgia Institute of Technology)
10. # WorkshopConnections for Women: Algebraic Geometry and Related Fields

Angela Gibney (U. Pennsylvania), Brendan Hassett (Rice U.), Sándor Kovács (U. Washington), Diane Maclagan (Warwick U.) Jessica Sidman (Mt. Holyoke), and Ravi Vakil (Stanford U.)

This workshop is part of the semester program on Algebraic Geometry, and
additional funding will be available for participants to attend the associated
"Introductory workshop: Classical algebraic geometry," January 26-30, 2009.

Jan 22, 2009
Thursday
 09:15 AM - 10:15 AM From curves to abelian varieties:updating the classical Torelli theorem Lucia Caporaso (Università di Roma, II) 02:00 PM - 03:00 PM Symplectic techniques in algebraic geometry Tara Holm
Jan 23, 2009
Friday
 09:15 AM - 10:15 AM An introduction to Affine Grassmannians Sara Billey 10:30 AM - 11:00 AM Graver bases of varieties of minimal degree Sonja Petrovic 11:30 AM - 12:00 PM Branch Curves of Singular Surfaces Rebecca Lehman 02:00 PM - 03:00 PM Enumerative geometry, Gromov-Witten theory, and orbifolds. Linda Chen (Swarthmore College)
Jan 24, 2009
Saturday
 09:15 AM - 10:15 AM Boundary of the moduli space of curves and arithmetic applications Rachel Pries (Colorado State University) 11:00 AM - 12:00 PM Convex Algebraic Geometry Rekha Thomas (University of Washington) 02:00 PM - 02:30 PM Weak Approximation for Degree 2 del Pezzo Surfaces Amanda Knecht 03:00 PM - 03:30 PM Indecomposable classes in the Brauer group of Q_p(t) Kelly McKinnie
Aug 24, 2009
Monday
 04:00 PM - 05:00 PM Basic tropical notions: varieties and maps Grigory Mikhalkin (Université de Genève)