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This is an expanded version of the talk I gave at Oberwolfach, MIT and several other universities.

Symplectic Geometry · Mathematics 2007-05-23 Matvei Libine

These notes closely correspond to a series of lectures given by the first author in Toulouse, on the recent extension of the theory of ODE well-posedness to abstract spaces, jointly obtained by the two authors. In the last part, we describe…

Metric Geometry · Mathematics 2016-09-13 Luigi Ambrosio , Dario Trevisan

These lecture notes are based on an introductory course given by the author at the summer school "Noncommutative Algebraic Geometry" at MSRI in June 2012. The emphasis throughout is on examples to illustrate the many different facets of…

Representation Theory · Mathematics 2014-01-21 Gwyn Bellamy

This is the summary talk of a meeting held at the California Institute of Technology Sept 10-13, 2001. I do not attempt to summarize all the beautiful experimental results we have seen this week, nor to repeat the lively theoretical…

High Energy Physics - Phenomenology · Physics 2009-11-07 Helen R. Quinn

The theory of one-relator groups is now almost a century old. The authors therefore feel that a comprehensive survey of this fascinating subject is in order, and this document is an attempt at precisely such a survey. This article is…

Group Theory · Mathematics 2025-01-31 Marco Linton , Carl-Fredrik Nyberg-Brodda

A system of session types is introduced as induced by a Curry Howard correspondence applied to Bounded Linear Logic, and then extending the thus obtained type system with probabilistic choices and ground types. The obtained system satisfies…

Logic in Computer Science · Computer Science 2022-07-08 Ugo Dal Lago , Giulia Giusti

The group testing approach that achieves significant cost reduction over the individual testing approach has received a lot of interest lately for massive testing of COVID-19. Many studies simply assume samples mixed in a group are…

Methodology · Statistics 2021-11-12 Yi-Jheng Lin , Che-Hao Yu , Tzu-Hsuan Liu , Cheng-Shang Chang , Wen-Tsuen Chen

Leo A. Goodman was born on August 7, 1928 in New York City. He received his A.B. degree, summa cum laude, in 1948 from Syracuse University, majoring in mathematics and sociology. He went on to pursue graduate studies in mathematics, with an…

Methodology · Statistics 2010-10-05 Mark P. Becker

This paper, which is a summary (in which considerable creative license has been taken) of the author's talk at the sixth international conference on $p$-adic mathematical physics and its applications (CINVESTAV, Mexico City, October 2017),…

High Energy Physics - Theory · Physics 2018-01-17 Ingmar Saberi

This is about the mathematics and life of Donald Gordon Higman, 1928-2006. He did important work in representation theory of groups and algebras and in algebraic combinatorics. Charles C. Sims and Donald Higman discovered and constructed…

History and Overview · Mathematics 2012-08-27 Eiichi Bannai , Robert L. Griess, , Cheryl Praeger , Leonard Scott

Joining a research group is one of the most important events on a graduate student's path to earning a PhD, but the ways students go about searching for a group remain largely unstudied. It is therefore crucial to investigate whether…

Physics Education · Physics 2023-07-17 Mike Verostek , Casey W. Miller , Benjamin M. Zwickl

Lie groups over local fields furnish prime examples of totally disconnected, locally compact groups. We discuss the scale, tidy subgroups and further subgroups (like contraction subgroups) for analytic endomorphisms of such groups. The text…

Group Theory · Mathematics 2017-01-16 Helge Glockner

A new topology is proposed on the space of holonomy equivalence classes of loops, induced by the topology of the space $\Sigma$ in which the loops are embedded. The possible role for the new topology in the context of the work by Ashtekar…

High Energy Physics - Theory · Physics 2007-05-23 J. Rasmussen , M. Weis

This is the extended write-up of a series of lectures on the duality between the Sine-Gordon model and the Thirring model. Prepared for the London Theory Institute (LonTI) - Fall 2022: a PhD-level mini-course, with exercises and a guide to…

High Energy Physics - Theory · Physics 2022-11-03 Alessandro Torrielli

This article contains reminiscences of the collaborative work that Richard Arnowitt and I did together which stretched over many years and encompasses several areas of particle theory. The article is an extended version of my talk at the…

History and Philosophy of Physics · Physics 2015-05-20 Pran Nath

In the 1970s Joan Birman and Hugh Hilden wrote several papers on the problem of relating the mapping class group of a surface to that of a cover. We survey their work, give an overview of the subsequent developments, and discuss open…

Geometric Topology · Mathematics 2021-02-10 Dan Margalit , Rebecca R. Winarski

These are notes from an informal mini-course on factorization homology, infinity-categories, and topological field theories. The target audience was imagined to be graduate students who are not homotopy theorists.

Algebraic Topology · Mathematics 2020-10-07 Araminta Amabel , Artem Kalmykov , Lukas Müller , Hiro Lee Tanaka

These notes are based on the three lectures that one of the authors gave at Tsinghua University in the summer of 2023 as part of the workshop on Geometric Representation Theory and Applications. They contain an introduction to the…

Quantum Algebra · Mathematics 2025-07-24 Mikhail Khovanov , Dmitry Solovyev

We give a self-contained introduction to accessible categories and how they shed light on both model- and set-theoretic questions. We survey for example recent developments on the study of presentability ranks, a notion of cardinality…

Category Theory · Mathematics 2020-01-08 Sebastien Vasey

The notes were prepared for a series of talks that I gave in Hagen in late June and early July 2003, and, with some changes, in the University of La Lagu\~{n}a, the Canary Islands, in September, 2003. They aim (i) to revisit some oldish…

Algebraic Topology · Mathematics 2007-05-23 Timothy Porter
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