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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 85; 2012; 484 ppMSC: Primary 14; 18; 19; 22; 53; 58; 81; 83;
The nature of interactions between mathematicians and physicists has been thoroughly transformed in recent years. String theory and quantum field theory have contributed a series of profound ideas that gave rise to entirely new mathematical fields and revitalized older ones. The influence flows in both directions, with mathematical techniques and ideas contributing crucially to major advances in string theory. A large and rapidly growing number of both mathematicians and physicists are working at the stringtheoretic interface between the two academic fields.
The StringMath conference series aims to bring together leading mathematicians and mathematically minded physicists working in this interface.
This volume contains the proceedings of the inaugural conference in this series, StringMath 2011, which was held June 6–11, 2011, at the University of Pennsylvania.ReadershipGraduate students and research mathematicians interested in string theory, algebraic geometry, and differential geometry.

Table of Contents

Plenary talks

M. Aganagic and S. Shakirov  Refined ChernSimons theory and knot homology

P. Aspinwall and R. Plesser  Elusive worldsheet instantons in heterotic string compactifications

M. Cheng and J. Duncan  The largest Matheiu group and (mock) automorphic forms

R. Donagi, J. Guffin, S. Katz and E. Sharpe  (0,2) quantum cohomology

M. Douglas  Foundations of quantum field theory

S. Gukov and M. Stosic  Homological algebra of knots and BPS states

M. Marcolli  Motivic structures in QFT

G. Moore and Y. Tachikawa  On 2d TQFT’s whose values are holomorphic symplectic varieties

Y. Ruan  The Witten equation and the geometry of the LandauGinzburg model

L.S. Tseng and S.T. Yau  NonKähler CalabiYau manifolds

S. SchaferNameki  F theory GUTs: Global aspects and phenomenology

M. Wijnholt  Higgs bundles and string phenomenology

Contributed talks

D. Baraglia  Topological Tduality with monodromy

N. Behr and S. Fredenhagen  Variable transformation defects

E. Bergshoeff and F. Riccioni  The Dbrane Uscan

N. Carqueville and M. Kay  An invitation to algebraic topological string theory

A. Francis, T. Jarvis, D. Johnson and R. Suggs  LandauGinzburg mirror symmetry for orbifolded Frobenius algebras

J. Fullwood and M. van Hoeij  Hirzebruch invariants of elliptic fibrations

S. Gregorian  $G_2$ structure deformations and warped products

M. Hamanaka  Noncommutative solitons and quasideterminants

B. Jurke  Computing cohomology on toric varieties

T. Kragh  Fibrancy of symplectic homology in cotangent bundles

D. Pomerleano  Curved string topology and tangential Fukaya categories

T. Rahn  Target space dualities of heterotic grand unified theories

F. Ruffino  FreedWitten anomaly and Dbrane gauge theories

J. Seo  Singularity structure and massless dyons of pure SeibergWitten theories with SU and Sp gauge groups

A. Sheshmani  Introduction to the theory of higher rank stable pairs and virtual localization

N. Sibilla  HMS for punctured tori and categorical maping class group actions

J. Yagi  Vanishing chiral algebras and HohnStolz conjecture


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The nature of interactions between mathematicians and physicists has been thoroughly transformed in recent years. String theory and quantum field theory have contributed a series of profound ideas that gave rise to entirely new mathematical fields and revitalized older ones. The influence flows in both directions, with mathematical techniques and ideas contributing crucially to major advances in string theory. A large and rapidly growing number of both mathematicians and physicists are working at the stringtheoretic interface between the two academic fields.
The StringMath conference series aims to bring together leading mathematicians and mathematically minded physicists working in this interface.
This volume contains the proceedings of the inaugural conference in this series, StringMath 2011, which was held June 6–11, 2011, at the University of Pennsylvania.
Graduate students and research mathematicians interested in string theory, algebraic geometry, and differential geometry.

Plenary talks

M. Aganagic and S. Shakirov  Refined ChernSimons theory and knot homology

P. Aspinwall and R. Plesser  Elusive worldsheet instantons in heterotic string compactifications

M. Cheng and J. Duncan  The largest Matheiu group and (mock) automorphic forms

R. Donagi, J. Guffin, S. Katz and E. Sharpe  (0,2) quantum cohomology

M. Douglas  Foundations of quantum field theory

S. Gukov and M. Stosic  Homological algebra of knots and BPS states

M. Marcolli  Motivic structures in QFT

G. Moore and Y. Tachikawa  On 2d TQFT’s whose values are holomorphic symplectic varieties

Y. Ruan  The Witten equation and the geometry of the LandauGinzburg model

L.S. Tseng and S.T. Yau  NonKähler CalabiYau manifolds

S. SchaferNameki  F theory GUTs: Global aspects and phenomenology

M. Wijnholt  Higgs bundles and string phenomenology

Contributed talks

D. Baraglia  Topological Tduality with monodromy

N. Behr and S. Fredenhagen  Variable transformation defects

E. Bergshoeff and F. Riccioni  The Dbrane Uscan

N. Carqueville and M. Kay  An invitation to algebraic topological string theory

A. Francis, T. Jarvis, D. Johnson and R. Suggs  LandauGinzburg mirror symmetry for orbifolded Frobenius algebras

J. Fullwood and M. van Hoeij  Hirzebruch invariants of elliptic fibrations

S. Gregorian  $G_2$ structure deformations and warped products

M. Hamanaka  Noncommutative solitons and quasideterminants

B. Jurke  Computing cohomology on toric varieties

T. Kragh  Fibrancy of symplectic homology in cotangent bundles

D. Pomerleano  Curved string topology and tangential Fukaya categories

T. Rahn  Target space dualities of heterotic grand unified theories

F. Ruffino  FreedWitten anomaly and Dbrane gauge theories

J. Seo  Singularity structure and massless dyons of pure SeibergWitten theories with SU and Sp gauge groups

A. Sheshmani  Introduction to the theory of higher rank stable pairs and virtual localization

N. Sibilla  HMS for punctured tori and categorical maping class group actions

J. Yagi  Vanishing chiral algebras and HohnStolz conjecture