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These are the notes on two-dimensional conformal field theory, based on a lecture course for graduate math students, given by P.M. in fall 2022 at the University of Notre Dame. These notes are intended to be substantially reworked and…

Mathematical Physics · Physics 2025-01-22 Pavel Mnev

This paper is a survey of the stable homotopy theory of BG for G a finite group. It is based on a series of lectures given at the Summer School associated with the Topology Conference at the Vietnam National University, Hanoi, August 2004.

Algebraic Topology · Mathematics 2009-03-30 Stewart Priddy

1. Translated by Thomas E. Cecil, Department of Mathematics and Computer Science, College of the Holy Cross, Worcester, MA 01610, USA; E-mail address: [email protected] 2. Typed by Wenjiao Yan, School of Mathematical Sciences,…

Differential Geometry · Mathematics 2011-12-14 Dirk Ferus , Hermann Karcher , Hans-Friedrich Münzner

The present notes provide an extended version of a small lecture course given at the Humboldt Universit\"at zu Berlin in the Winter Term 2022/23 (of 36 hours). The material starting in Section 5.4 was added afterwards. The aim of these…

Mathematical Physics · Physics 2023-06-09 Alexander Mielke

This article was prepared in connection with the 2009 Barnett lecture at the University of Cincinnati, and deals with various classes of fractal sets and analysis on them.

Classical Analysis and ODEs · Mathematics 2010-08-17 Stephen Semmes

These are extended notes of a course given at Tulane University for the 2015 Clifford Lectures. Their aim is to present structure results for group schemes of finite type over a field, with applications to Picard varieties and automorphism…

Algebraic Geometry · Mathematics 2016-12-13 Michel Brion

An outline is sketched, of applications of the ideas and the mathematical methods presented at the 19th symposium of the Hellenic Nuclear Physics Society (HNPS) in Thessaloniki, May 2010

Mathematical Physics · Physics 2012-10-09 K. Kanakoglou , A. Herrera-Aguilar

Various aspects including the construction and the symmetries of Abelian Chern-Simons vortices are reviewed. Extended version of the Lectures delivered at NIKHEF (Amsterdam), July 2006. Typos corrected, some refernces added.

High Energy Physics - Theory · Physics 2007-05-23 P. A. Horvathy

This is an expanded version of the notes of our lectures given at the conference "Current Developments in Mathematics 2003" held at Harvard University on November 21--22, 2003. We present an overview of the main definitions, results and…

Representation Theory · Mathematics 2007-05-23 Sergey Fomin , Andrei Zelevinsky

These are notes for a summer course given at the PIMS Summer School on Geometric and Topological Aspects of the Representation Theory of Finite Groups in Vancouver, July 27-30 2016.

Representation Theory · Mathematics 2019-02-11 Peter Symonds

These are notes from a 15 week course aimed at graduate mathematicians. They provide an essentially self-contained introduction to some of the ideas and terminology of QFT.

Mathematical Physics · Physics 2007-05-23 R. E. Borcherds , A. Barnard

This volume contains the post-proceedings of the Fourteenth and the Fifteenth International Workshops on Graph Computation Models (GCM 2023 and 2024). The workshops took place in Leicester, UK on 18th July 2023 and Enschede, the Netherlands…

Logic in Computer Science · Computer Science 2025-03-26 Jörg Endrullis , Dominik Grzelak , Tobias Heindel , Jens Kosiol

These notes cover and expand upon the material for two summer schools: The first, which was held at CIRM, Marseille, France, July 10-14, 2023, as part of "Renormalization and Visualization for packing, billiard and surfaces", was titled…

Number Theory · Mathematics 2024-12-04 Katherine E. Stange

These are notes to accompany four lectures that I gave at the School on Additive Combinatorics, held in Montreal, Quebec between March 30th and April 5th 2006. My aim is to introduce ``quadratic fourier analysis'' in so far as we understand…

Classical Analysis and ODEs · Mathematics 2007-05-23 Ben Green

This is an expanded version of my Shaw Prize Lecture delivered at the Chinese University of Hong Kong.

Representation Theory · Mathematics 2014-09-30 G. Lusztig

This paper is an overview of my recent work on abstract homomorphisms of algebraic groups. It is based on a talk given at the Conference on Group Actions and Applications in Geometry, Topology, and Analysis held in Kunming in July 2012.

Group Theory · Mathematics 2013-06-25 Igor A. Rapinchuk

These are lecture notes for a mini-course on stochastic sewing, taught at the University of Edinburgh and Beijing Institute of Technology in Spring/Summer 2025. The aim is to introduce the reader to stochastic sewing techniques and to show…

Probability · Mathematics 2025-10-15 Oleg Butkovsky

This paper is an extended version of four lectures at PIMS in Vancouver given June 27 - 30, 2016. The primary goal of these lectures was to publicize the author's recent efforts to extend to representations of linear algebraic groups the…

Representation Theory · Mathematics 2017-12-20 Eric M. Friedlander

These are lecture notes that are based on the lectures from a class I taught on the topic of Spectral Graph Methods at UC Berkeley during the Spring 2015 semester.

Data Structures and Algorithms · Computer Science 2016-08-18 Michael W. Mahoney

These are notes from my lecture at 4ECM in Stockholm (June 2004).

Mathematical Physics · Physics 2007-05-23 Andrei Okounkov
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