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These are largely expanded notes from lectures on Higgs moduli and abelianisation given in Angers, France (2014) and Guaruja, Brazil (2015). Dedicated to Ugo Bruzzo on his 60-th birthday. Version 2: minor corrections.

Algebraic Geometry · Mathematics 2017-06-28 Peter Dalakov

This expository article is based on a lecture from the Stanford Symposium on Algebraic Topology: Application and New Directions, held in honor of Gunnar Carlsson, Ralph Cohen, and Ib Madsen.

Algebraic Topology · Mathematics 2013-10-24 Matthew Kahle

This note is based on a lecture delivered by the author at the Second Conference on Differential Geometry, held in Fez in October 2024. It offers an accessible introduction to biharmonic and biconservative submanifolds, exploring the…

Differential Geometry · Mathematics 2025-03-04 Stefano Montaldo

This is an updated version of the lectures notes for a course on condensed mathematics taught in the summer term 2019 at the University of Bonn. The material presented is joint work with Dustin Clausen. This is intended as a stable citable…

Number Theory · Mathematics 2026-05-06 Peter Scholze

These are the notes for the lecture given by the author at the "Current Events" Special Session of the AMS meeting in Baltimore on January 17, 2003. Topics reviewed include the Langlands correspondence for GL(n) in the function field case…

Algebraic Geometry · Mathematics 2007-05-23 Edward Frenkel

This special issue brings together eight papers from experts of communities which often have been perceived as different once: bibliometrics, scientometrics and informetrics on the one side and information retrieval on the other. The idea…

Information Retrieval · Computer Science 2019-01-15 Philipp Mayr , Andrea Scharnhorst

This is a slightly revised version of the Presidential address (General) delivered at the 84th Annual Conference of the Indian Mathematical Society held at Jammu, India during November 2018.

History and Overview · Mathematics 2020-04-07 Sudhir R. Ghorpade

As a continuation of the OCL workshop during the MODELS 2013 conference in October 2013, a number of OCL experts decided to meet in November 2013 in Aachen for two days to discuss possible short term improvements of OCL for an upcoming OMG…

This text follows the line of a talk on Ringberg symposium dedicated to Wolfhart Zimmermann 70th birthday. The historical overview (Part 1) partially overlaps with corresponding text of my previous commemorative paper. At the same time…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Shirkov

We extend the classical Bernstein inequality to a general setting including Schr{\"o}dinger operators and divergence form elliptic operators on Riemannian manifolds or domains. Moreover , we prove a new reverse inequality that can be seen…

Analysis of PDEs · Mathematics 2021-06-11 Rafik Imekraz , El Maati Ouhabaz

Summary of Quantum Magnetism Conference, Institute for Theoretical Physics, University of California, Santa Barbara, California, August 16-20, 1999.

Strongly Correlated Electrons · Physics 2007-05-23 R. R. P. Singh , W. E. Pickett , D. W. Hone , D. J. Scalapino

The materials accompany a lecture short course presented at the 2011 Park City Mathematics Institute, Graduate Summer School on Moduli Spaces of Riemann Surfaces. The lectures were part of/coordinated with an overall program, including…

Differential Geometry · Mathematics 2011-08-02 Scott A. Wolpert

This is an overview of recent developments regarding the complexity of matrix multiplication, with an emphasis on the uses of algebraic geometry and representation theory in complexity theory.

Computational Complexity · Computer Science 2018-11-29 Joseph M. Landsberg

A biographical profile of the theoretical physicist, Julian Schwinger, and a discussion of "The Memories of Julian" Centennial Celebration (held at Harvard University on February 12, 2018) is presented herein.

History and Philosophy of Physics · Physics 2018-12-12 Steve Nadis

This paper is based on the course \lq\lq Weighted Hardy-Bergman spaces\rq\rq\, I delivered in the Summer School \lq\lq Complex and Harmonic Analysis and Related Topics\rq\rq at the Mekrij\"arvi research station of University of Eastern…

Complex Variables · Mathematics 2015-07-28 José Ángel Peláez

These notes expand a four-hour lecture course given in Heidelberg in March 2023, as part of the "Spring School on non-Archimedean Geometry and Eigenvarieties". They are designed for graduate students and other learners. We introduce Huber…

Number Theory · Mathematics 2024-04-19 John Bergdall

Talk given at the 7th Marcel Grossmann Meeting on General Relativity, Stanford University, July 24-30, 1994.

High Energy Physics - Theory · Physics 2007-05-23 George Lavrelashvili

In 2006, during a meeting of a working group of scientists in La Jolla, California at The Neurosciences Institute (NSI), Gerald Edelman described a roadmap towards the creation of a Conscious Artifact. As far as I know, this roadmap was not…

Neurons and Cognition · Quantitative Biology 2021-05-26 Jeffrey L. Krichmar

On November 23, 2021, the Einstein-Besso manuscript on the perihelion motion of Mercury will be auctioned at Christie's. Expected to fetch around $3M, it promises to be the most expensive scientific manuscript ever sold at auction. In this…

History and Philosophy of Physics · Physics 2021-11-23 Michel Janssen , Jürgen Renn

We present PERELMAN (PipEline foR sciEntific Literature Meta-ANalysis), an agentic framework designed to extract specific information from a large corpus of scientific articles to support large-scale literature reviews and meta-analyses.…

Multiagent Systems · Computer Science 2025-12-29 Daniil Sherki , Daniil Merkulov , Alexandra Savina , Ekaterina Muravleva