Proceedings from an AMS Special Session examine the Singer-Hopf Conjecture and allied challenges in geometry and topology, highlighting research on normalized Betti numbers, L2-invariants, and aspherical manifolds. The articles bridge diverse viewpo...Lasīt vairāk
This volume contains the proceedings of the virtual AMS Special Session on Equivariant Cohomology, held March 19-20, 2022. Equivariant topology is the algebraic topology of spaces with symmetries. At the meeting, equivariant cohomology was broa...Lasīt vairāk
This volume contains the proceedings of the AMS Special Session on Combinatorial and Geometric Representation Theory, held virtually on November 20-21, 2021. The articles offer an engaging look into recent advancements in geometric representation th...Lasīt vairāk
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Lasīt vairāk
Motivated by the limit mixed Hodge structure on the Milnor fiber of a hypersurface singularity germ, we construct a natural mixed Hodge structure on the torsion part of the Alexander modules of a smooth connected complex algebraic variety....Lasīt vairāk
The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality que...Lasīt vairāk
Focuses on new and existing connections between three types of compactifications, thereby setting the stage for further research. The book draws on the discipline-specific expertise of all contributors, and at the same time gives a unified, self-con...Lasīt vairāk
Nicolas Bergeron, Pierre Charollois, Luis E. Garcia
Sērija : CRM Monograph Series
(Izdošanas datums: 30-Nov-2023, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470474119)
Ce livre constitue un expose detaille de la serie de cours donnes en 2020 par le Prof. Nicolas Bergeron, titulaire de la Chaire Aisenstadt au CRM de Montreal. Lobjet de ce texte est une ample generalisation dune famille didentites classiques, not...Lasīt vairāk
In this paper, we prove compatibilities of various definitions of relatively unipotent log de Rham fundamental groups for certain proper log smooth integral morphisms of fine log schemes of characteristic zero. Our proofs are purely algebraic. As an...Lasīt vairāk
We compute and compare the (intersection) cohomology of various natural geometric compactifications of the moduli space of cubic threefolds: the GIT compactification and its Kirwan blowup, as well as the Baily-Borel and toroidal compactifications of...Lasīt vairāk
The simplicial volume is a homotopy invariant of manifolds introduced by Gromov in his pioneering paper Volume and bounded cohomology. In order to study the main properties of simplicial volume, Gromov himself initiated the dual theory of bounded co...Lasīt vairāk
Perverse sheaves were discovered in the fall of 1980, says Achar, and have been a powerful tool of fundamental importance in geometric representation theory ever since. One reason they are so useful, he argues, is that they are easy, requiring on...Lasīt vairāk
To mark the opening of a new mathematics and physics building at the California Institute of Technology, a symposium was held during February 2019, and the organizing committee decided to publish expanded versions of the lectures. The nine papers...Lasīt vairāk
Vladimir Abramovich Rokhlin (1919-1984) was one of the leading Russian mathematicians of the second part of the twentieth century. Topics covered in this volume include topology of manifolds, theory of cobordisms, knot theory, geometry of real algeb...Lasīt vairāk
Iritani and colleagues construct a global B-model for any quasi-homogeneous polynomial that has properties similar to the properties of the physics B-model on a Calabi-Yau manifold. The main elements in their construction are K. Saitos theory o...Lasīt vairāk
Isaksen presents a detailed analysis of two complete stable homotopy groups, both in the classical context and in the motivic context over C. He uses the motivic May spectral sequence to compute the cohomology of the motivic Steenrod algebra over...Lasīt vairāk
Mexican mathematicians, many of them working abroad, highlight the contributions they and others like them have made to pure and applied mathematics. Among the topics are the Atiyah-Singer cobordism invariance and the tangent groupoid, multiplica...Lasīt vairāk
(Izdošanas datums: 01-Jun-2018, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470440725)
In an extended version of notes for a seminar on arithmetic methods in algebraic geometry that they ran in the spring of 2011, Gorchinskiy and Shramov introduce the theory of unramified Brauer groups and their applications to stable rationality,...Lasīt vairāk
(Izdošanas datums: 30-Mar-2018, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470441883)
Qin surveys in detail developments in interactions between Hilbert schemes of points and infinite dimensional Lie algebras that have appeared since H. Nakajimas 1999 Lectures on Hilbert Schemes of Points on Surfaces. He covers Hilbert schemes of...Lasīt vairāk
