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Lecture notes on an introductory course on arithmetic lattices (EPFL 2014).

Geometric Topology · Mathematics 2023-08-08 Vincent Emery

The paper gives a collection of open problems on abstract polytopes that were either presented at the Polytopes Day in Calgary or motivated by discussions at the preceding Workshop on Convex and Abstract Polytopes at the Banff International…

Combinatorics · Mathematics 2007-05-23 Egon Schulte , Asia Ivic Weiss

This is an expanded version of my talk given at the workshop "Hot Topics: Thin Groups and Super-strong Approximation" (MSRI, Berkeley, February 6-10, 2012).

Number Theory · Mathematics 2012-07-19 Andrei S. Rapinchuk

In this report I will give a summary of some of the main topics covered in Session A3, mathematical studies of the field equations, at GRG18, Sydney. Unfortunately, due to length constraints, some of the topics covered at the session will…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lars Andersson

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

Reproducing my talk at Algebra Symposium held at Hiroshima University, August 26--29, 2013, I review recent results on super algebraic groups, emphasizing results obtained by myself and my coauthors using Hopf algebraic techniques. The…

Algebraic Geometry · Mathematics 2017-01-04 Akira Masuoka

In this report, which is an extended version of that appearing in the Proceedings of GR16, I will give a summary of the main topics covered in Session A.3. on mathematical relativity at GR16, Durban. The summary is mainly based on extended…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lars Andersson

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

These are partial lecture notes from the fifteen Ess\'en Lectures for graduate students at Uppsala University given (in four days!) in June 2013.

Representation Theory · Mathematics 2014-01-24 Alexander Kleshchev

This is the Proceedings of the Twentieth Conference on Uncertainty in Artificial Intelligence, which was held in Banff, Canada, July 7 - 11 2004.

Artificial Intelligence · Computer Science 2014-08-29 Max Chickering , Joseph Halpern

This manuscript summarizes the outcome of the focus groups at "The f(A)bulous workshop on matrix functions and exponential integrators", held at the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg, Germany, on…

Numerical Analysis · Mathematics 2024-01-30 Massimiliano Fasi , Stéphane Gaudreault , Kathryn Lund , Marcel Schweitzer

These are notes of a series of lectures on sieves, presented during the Special Activity in Analytic Number Theory, at the Max-Planck Institute for Mathematics in Bonn, during the period January--June 2002.

Number Theory · Mathematics 2007-05-23 D. R. Heath-Brown

This text is related to the tutorials I gave at the Banff International Research Station and within a "Doc-course" at Charles University Prague in the fall of 2014. It describes my current research and some of the most important open…

Logic · Mathematics 2015-07-06 Michael Pinsker

In the week 3--9, October 2010, the Mathematisches Forschungsinstitut at Oberwolfach hosted a mini workshop Linear Series on Algebraic Varieties. These notes contain a variety of interesting problems which motivated the participants prior…

We present a list of problems in arithmetic topology posed at the June 2019 PIMS/NSF workshop on "Arithmetic Topology". Three problem sessions were hosted during the workshop in which participants proposed open questions to the audience and…

Algebraic Topology · Mathematics 2021-01-01 Claudio Gómez-Gonzáles , Jesse Wolfson

These notes are a record of lectures given in the Workshop on Connections Between Algebra and Geometry at the University of Regina, May 29--June 1, 2012. The lectures were meant as an introduction to current research problems related to fat…

Algebraic Geometry · Mathematics 2013-10-15 Susan Cooper , Brian Harbourne

Some open questions in quantum information theory (QIT) are described. Most of them were presented in Banff during the BIRS workshop on Operator Structures in QIT 11-16 February 2007. New material has been added in view of the recent…

Quantum Physics · Physics 2007-08-15 Mary Beth Ruskai

In recent years, theoretical and phenomenological studies with effective field theories have become a trending and prolific line of research in the field of high-energy physics. In order to discuss present and future prospects concerning…

We present the proceedings from a 2-day workshop held at Swinburne University on the 24th-25th of May 2005. The workshop participants highlighted current Australian research on both theoretical and observational aspects of galaxy groups.…

This is a brief introduction to the theories of Lie groups, algebraic groups and their discrete subgroups, which is based on a lecture series given during the Summer School held in the Banach Centre in Poland in Summer 2011.

Group Theory · Mathematics 2012-10-02 Alexander Gorodnik
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