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Discusses nine mathematical problems, or sets of problems, in a deep way, but starting from scratch. Included among them are the well-known problems of the classification of finite groups, the Navier-Stokes equations, the Birch and Swinnerton-Dyer conjecture, and the continuum hypothesis.

Papers contained in this volume cover topics ranging from symplectic topology to classical knot theory to topology of 3- and 4-dimensional manifolds to geometric group theory. Several papers focus on open problems, while other papers present new and insightful proofs of classical results.

Contains the proceedings of the Conference on Representation Theory and Algebraic Geometry, held in honor of Joseph Bernstein, in June 2017, at the Weizmann Institute of Science and The Hebrew University of Jerusalem. The topics reflect the decisive and diverse impact of Bernstein on representation theory in its broadest scope.

Contains the proceedings of the 2016 AMS von Neumann Symposium on Topological Recursion and its Influence in Analysis, Geometry, and Topology, held in 2016. The papers present a snapshot of rapid and rich developments in the emerging research field known as topological recursion.

Contains a collection of survey articles of exciting new developments in geometry, written in tribute to Simon Donaldson to celebrate his 60th birthday. Reflecting the wide range of Donaldson's interests and influence, the papers range from algebraic geometry and topology through symplectic geometry and geometric analysis to mathematical physics.

The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic.

The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic.

These papers give succinct and thorough introductions to some of the most important and exciting developments in algebraic geometry in the last decade. Included are descriptions of the striking advances in the Minimal Model Program, moduli spaces, derived categories, Bridgeland stability, motivic homotopy theory, methods in characteristic $p$ and Hodge theory.

Contains the proceedings of the 2015 Clifford Lectures on Algebraic Groups, held March 2015. The six articles cover an enhanced exposition of the classical results of Chevalley and Rosenlicht on the structure of algebraic groups; an enhanced survey of the recently developed theory of pseudo-reductive groups; and an exposition of the recently developed operational $K$-theory for singular varieties.

Contains the proceedings of the 2012-2014 Southeastern Lie Theory Workshop Series held between 2012 and 2014. Some of the articles by experts in the field survey recent developments while others include new results in representations of Lie algebras, and quantum groups, vertex (operator) algebras and Lie superalgebras.

The papers in this volume cover topics in large deviations and thermodynamics formalism and limit theorems for dynamic systems. The material presented is primarily directed at researchers and graduate students in the very broad area of dynamical systems and ergodic theory, but will also be of interest to researchers in related areas.

Presents the proceedings of the Joint Summer Research Conference on Algebraic $K$-theory held at the University of Washington in Seattle. This work includes an account of Voevodsky's proof of the Milnor conjecture relating the Milnor $K$-theory of fields to Galois cohomology.

Covers subjects related to the mathematical areas in which Peter Lax and Louis Nirenberg worked: analysis, partial differential equations, applied mathematics and scientific computing. This book gives testament to the major role played by Lax and Nirenberg in the development of mathematical analysis.

Contains lectures presented at the MIT symposium on the 100th anniversary of Norbert Wiener's birth held in October 1994. This book includes reviews on Norbert Wiener's contributions from different perspectives. It gives mathematical researchers an overview of mathematical problems presented by other areas.

Contrasts combinatorial games, which have complete information and no chance moves, with those of classical game theory. This book introduces a theory of numbers, including infinitesimals and transfinite numbers, which has emerged as a special case of the theory of games. It also describes impartial games.

Contains many of the lectures delivered at the AMS Summer Research Institute on Algebraic Geometry held at the University of California, Santa Cruz in July 1995. The aim of the conference was to provide a comprehensive view of the development of algebraic geometry in the past decade and to lay special emphasis on emerging new directions.

Presents a course in representation theory of semisimple groups, automorphic forms and the relations between these two subjects. This book presents an introduction to the structure theory. It also discusses the analogies between analysis of cusp forms and analysis on semisimple symmetric spaces.

'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991.