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Influence of Solomon Lefschetz in geometry and topology : 50 years of mathematics at CINVESTAV / [edited by] Ludmil Katzarkov, Ernesto Lupercio and Francisco J. Turrubiates.

Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 621.Publication details: Providence : American Mathematical Society, c2014.Description: ix, 226 p. : ill. ; 26 cmISBN:
  • 9780821894941 (pbk. : acidfree paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
Solomon Lefschetz and Mexico / Michael Atiyah -- Recent Progress in Symplectic Flexibility / Yakov Eliashberg -- Equivariant Extensions of Differential Forms for Non-compact Lie Groups / Hugo García-Compeán, Pablo Paniagua and Bernardo Uribe -- From Classical Theta Functions to Topological Quantum Field Theory / Razvan Gelca and Alejandro Uribe -- Toric Topology / Samuel Gitler -- Beilinson Conjecture for Finite-dimensional Associative Algebras / Dmitry Kaledin -- Partial Monoids and Dold-Thom Functors / Jacob Mostovoy -- The Weak b-principle / Rustam Sadykov -- Orbit Configuration Spaces / Miguel A. Xicotencatl -- Dynamical Systems and Categories / G. Dimitrov, F. Haiden, L. Katzarkov and M. Kontsevich -- The Nahm Pole Boundary Condition / Rafe Mazzeo and Edward Witten.
Summary: The influence of Solomon Lefschetz (1884-1972) in geometry and topology 40 years after his death has been very profound. Lefschetz's influence in Mexican mathematics has been even greater. In this volume, celebrating 50 years of mathematics at Cinvestav-Mexico, many of the fields of geometry and topology are represented by some of the leaders of their respective fields. This volume opens with Michael Atiyah reminiscing about his encounters with Lefschetz and Mexico. Topics covered in this volume include symplectic flexibility, Chern-Simons theory and the theory of classical theta functions, toric topology, the Beilinson conjecture for finite-dimensional associative algebras, partial monoids and Dold-Thom functors, the weak b-principle, orbit configuration spaces, equivariant extensions of differential forms for noncompact Lie groups, dynamical systems and categories, and the Nahm pole boundary condition.
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Includes bibliographical references.

Solomon Lefschetz and Mexico / Michael Atiyah --
Recent Progress in Symplectic Flexibility / Yakov Eliashberg -- Equivariant Extensions of Differential Forms for Non-compact Lie Groups / Hugo García-Compeán, Pablo Paniagua and Bernardo Uribe --
From Classical Theta Functions to Topological Quantum Field Theory / Razvan Gelca and Alejandro Uribe --
Toric Topology / Samuel Gitler --
Beilinson Conjecture for Finite-dimensional Associative Algebras / Dmitry Kaledin --
Partial Monoids and Dold-Thom Functors / Jacob Mostovoy -- The Weak b-principle / Rustam Sadykov --
Orbit Configuration Spaces / Miguel A. Xicotencatl --
Dynamical Systems and Categories / G. Dimitrov, F. Haiden, L. Katzarkov and M. Kontsevich --
The Nahm Pole Boundary Condition / Rafe Mazzeo and Edward Witten.

The influence of Solomon Lefschetz (1884-1972) in geometry and topology 40 years after his death has been very profound. Lefschetz's influence in Mexican mathematics has been even greater. In this volume, celebrating 50 years of mathematics at Cinvestav-Mexico, many of the fields of geometry and topology are represented by some of the leaders of their respective fields. This volume opens with Michael Atiyah reminiscing about his encounters with Lefschetz and Mexico. Topics covered in this volume include symplectic flexibility, Chern-Simons theory and the theory of classical theta functions, toric topology, the Beilinson conjecture for finite-dimensional associative algebras, partial monoids and Dold-Thom functors, the weak b-principle, orbit configuration spaces, equivariant extensions of differential forms for noncompact Lie groups, dynamical systems and categories, and the Nahm pole boundary condition.

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