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The Brunn-Minkowski Inequality and a Minkowski Problem for Nonlinear Capacity
  • Language: en
  • Pages: 115
Analysis and Geometry of Metric Measure Spaces
  • Language: en
  • Pages: 241

Analysis and Geometry of Metric Measure Spaces

Contains lecture notes from most of the courses presented at the 50th anniversary edition of the Seminaire de Mathematiques Superieure in Montreal. This 2011 summer school was devoted to the analysis and geometry of metric measure spaces, and featured much interplay between this subject and the emergent topic of optimal transportation.

On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves
  • Language: en
  • Pages: 105

On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves

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Isoperimetric Inequalities in Unbounded Convex Bodies
  • Language: en
  • Pages: 86

Isoperimetric Inequalities in Unbounded Convex Bodies

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Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation
  • Language: en
  • Pages: 131
Tunneling Estimates and Approximate Controllability for Hypoelliptic Equations
  • Language: en
  • Pages: 108
Intrinsic Approach to Galois Theory of $q$-Difference Equations
  • Language: en
  • Pages: 88

Intrinsic Approach to Galois Theory of $q$-Difference Equations

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Coefficient Systems on the Bruhat-Tits Building and Pro-$p$ Iwahori-Hecke Modules
  • Language: en
  • Pages: 82

Coefficient Systems on the Bruhat-Tits Building and Pro-$p$ Iwahori-Hecke Modules

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In the Tradition of Ahlfors-Bers, IV
  • Language: en
  • Pages: 250

In the Tradition of Ahlfors-Bers, IV

The Ahlfors-Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in the fields of geometric function theory, Teichmuller theory, hyperbolic manifolds, and partial differential equations. However, the work of Ahlfors and Bers has impacted and created interactions with many other fields, such as algebraic geometry, mathematical physics, dynamics, geometric group theory, number theory, and topology. The triannual Ahlford-Bers colloquia serve as a venue to disseminate the relevant work to the wider mathematical community and bring the key participants together to ponder future directions in the field. The present volume includes a wide range of articles in the fields central to this legacy. The majority of articles present new results, but there are expository articles as well.

Non-Semisimple Extended Topological Quantum Field Theories
  • Language: en
  • Pages: 161

Non-Semisimple Extended Topological Quantum Field Theories

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