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Annual Report 2005 - Fields Institute - University of Toronto

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Workshop on Topological Strings<br />

January 10-14, <strong>2005</strong>.<br />

Held at the <strong>Fields</strong> <strong>Institute</strong><br />

Organizers: Ezra Getzler (Northwestern), Kentaro Hori<br />

(<strong>Toronto</strong>) and Sheldon Katz (Illinois/Urbana-Champaign)<br />

Topological string theory is currently a very active field<br />

<strong>of</strong> research for both mathematicians and physicists. In<br />

mathematics, it leads to new relations between symplectic<br />

topology, algebraic geometry and combinatorics. In physics,<br />

it is a laboratory for the study <strong>of</strong> basic features <strong>of</strong> string<br />

theory, such as background independence, open/closed<br />

string duality, non-perturbative completion, as well as an<br />

effective framework for computing spectra and interactions<br />

in full-fledged string compactifications.<br />

This workshop brought together a range <strong>of</strong> experts on different<br />

aspects <strong>of</strong> topological string theory from both the<br />

mathematics and physics communities. Twenty five lectures<br />

were given over five days, to over seventy participants. The<br />

workshop was held at the <strong>Fields</strong> <strong>Institute</strong>, as an activity in<br />

the Geometry <strong>of</strong> String Theory program, sponsored jointly<br />

by the <strong>Fields</strong> and Perimeter <strong>Institute</strong>s. Additional funding<br />

was supplied by the US NSF, through a grant in support<br />

<strong>of</strong> the participation <strong>of</strong> junior researchers in the thematic<br />

program.<br />

Speakers:<br />

Mina Aganagic (UC Berkeley)<br />

Black holes, quantum Yang-Mills theory and non-perturbative<br />

topological strings<br />

Jim Bryan (UBC)<br />

The local Gromov-Witten theory <strong>of</strong> curves<br />

Speaker, Andrei Losev<br />

Cheol-Hyun Cho (Northwestern)<br />

A-infinity structure <strong>of</strong> open-closed map in A-model<br />

T h e m a t i c P r o g r a m s<br />

Kevin J. Costello (Imperial College)<br />

Topological conformal field theories and Calabi-Yau categories<br />

Robbert Dijkgraaf (Inst. for Theoretical Physics, Amsterdam)<br />

Topological M-theory, Part II<br />

Duiliu Emanuel Diaconescu (Rutgers)<br />

Geometric Transitions and Integrable Systems<br />

Alexander Givental (UC Berkeley)<br />

Quantum Riemann-Roch for orbifolds and Bernoulli polynomials<br />

Hirzebruch-Riemann-Roch in quantum cobordism theory<br />

Eleny-Nicoleta Ionel (Stanford)<br />

Embedded curves and the Gromov-Witten invariants <strong>of</strong> 3folds<br />

Bumsig Kim (Inst. for Advanced Study Korea)<br />

Generalization <strong>of</strong> Hori-Vafa conjecture<br />

Yon Seo Kim (UCLA)<br />

Computing Hodge integrals with one lambda class<br />

Albrecht Klemm (Wisconsin at Madison)<br />

Open/closed string duality for topological gravity with matter<br />

Yuan-Pin Lee (Utah)<br />

Invariance <strong>of</strong> tautological equations<br />

Jun Li (Stanford)<br />

Relative stable maps and topological vertex<br />

Andrei Losev (ITEP, Moscow)<br />

Homological algebra, BV formalism and (topological) string<br />

theory<br />

Yong-Geun Oh (Wisconsin at Madison)<br />

Compactification <strong>of</strong> the moduli space <strong>of</strong> holomorphic maps<br />

with prescribed singularities<br />

Andrei Okounkov (Princeton)<br />

Overview <strong>of</strong> Gromov-Witten/ Donaldson-Thomas correspondence<br />

Quantum cohomology <strong>of</strong> the Hilbert scheme<br />

<strong>Fields</strong> <strong>Institute</strong> <strong>2005</strong> ANNUAL REPORT 24

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