Annual Report 2005 - Fields Institute - University of Toronto
Annual Report 2005 - Fields Institute - University of Toronto
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