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Talk given at the conference "Visions in Mathematics toward the year 2000", August 1999, Tel-Aviv.

Quantum Algebra · Mathematics 2007-05-23 Victor G. Kac

These notes grew from a series of lectures given by the authors during the last decade. They will be published in the proceedings of TASI 2021. After a brief introduction to quantum information theory tools, they are organized in four…

High Energy Physics - Theory · Physics 2023-03-24 Horacio Casini , Marina Huerta

These are lecture notes expanding upon a set of lectures given by G.M. at the TASI 2023 School. Part I is an introduction to topological field theory, including extended topological field theory. Part II is an introduction to generalized…

High Energy Physics - Theory · Physics 2025-10-10 Gregory W. Moore , Vivek Saxena

This is an expanded version of the notes by the second author of the lectures on symmetric tensor categories given by the first author at Ohio State University in March 2019 and later at ICRA-2020 in November 2020. We review some aspects of…

Quantum Algebra · Mathematics 2024-03-12 Pavel Etingof , Arun S. Kannan

Lectures given at the Theoretical Advanced Study Institute (TASI 2020), 1-26 June 2020. The topics covered include quantum circuits, entanglement, quantum teleportation, Bell inequalities, quantum entropy and decoherence, classical versus…

Quantum Physics · Physics 2021-01-01 Joseph D. Lykken

We present a conceptually clear introduction to quantum theory, deriving the theory from scratch from the point of view of quantum information. Different subsets of these lectures were taught to a wide variety of audiences, including…

Popular Physics · Physics 2025-04-15 Barak Shoshany

These notes are based on a lecture course by L. Chekhov held at the University of Manchester in May 2006 and February-March 2007. They are divulgative in character, and instead of containing rigorous mathematical proofs, they illustrate…

Algebraic Geometry · Mathematics 2007-10-11 Leonid Chekhov

The lecture notes cover the basics of quantum computing methods for quantum field theory applications. No detailed knowledge of either quantum computing or quantum field theory is assumed and we have attempted to keep the material at a…

Quantum Physics · Physics 2025-12-03 Aninda Sinha , Ujjwal Basumatary

Notes from the lectures by the author at the 7th Jerusalem Winter School 1990 on Quantum Cosmology and Baby Universes. The lectures covered quantum mechanics for closed systems like the universe, generalized quantum mechanics, time in…

General Relativity and Quantum Cosmology · Physics 2018-06-01 James B. Hartle

Following my plenary lecture on ICMP2000 I review my results concerning two closely related topics: topological quantum field theories and the problem of quantization of gauge theories. I start with old results (first examples of…

High Energy Physics - Theory · Physics 2007-05-23 Albert Schwarz

We present 18 Introductory Lectures on K-Theory covering its basic three branches, namely topological, analytic (K-Homology) and Higher Algebraic K-Theory, 6 lectures on each branch. The skeleton of these notes was provided by the author's…

K-Theory and Homology · Mathematics 2010-08-10 Ioannis P. Zois

These notes are a written version of a set of lectures given at TASI-02 on the topic of effective field theories. They are meant as an introduction to some of the latest techniques and applications in the field.

High Energy Physics - Phenomenology · Physics 2007-05-23 Ira Z. Rothstein

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

Based on lectures delivered at (1) the AMS meeting at USC, Nov. 1992 (2) Conference on Quantum Aspects of Black Holes, ITP, UC- Santa %Barbara, %%June 1993. (3) 25th Summer Institute, Ecole Normale Superieure, % Paris, Aug. 1992. To appear…

High Energy Physics - Theory · Physics 2007-05-23 Itzhak Bars

Three lectures on effective field theory given at the Seventh Summer School in Nuclear Physics, Seattle June 19-30 1995.

Nuclear Theory · Physics 2007-05-23 David B. Kaplan

The Semiclassical Expansion of the t-J model. Lectures in the Jerusalem Winter School on Strongly Correlated Electrons, Dec. 1991, by Assa Auerbach, Physics Dept., Technion, Israel. LateX. Tech-102.

Condensed Matter · Physics 2007-05-23 Assa Auerbach

These third-year lecture notes are designed for a 1-semester course in topological quantum field theory (TQFT). Assumed background in mathematics and physics are only standard second-year subjects: multivariable calculus, introduction to…

Mathematical Physics · Physics 2008-12-11 Vladimir G. Ivancevic , Tijana T. Ivancevic

Emphasis is on 2d target space (c=1 coupled to gravity). Contents: 0. Introduction, Overview, and Purpose 1. Loops and States in Conformal Field Theory 2. 2D Euclidean Quantum Gravity I: Path Integral Approach 3. Brief Review of the…

High Energy Physics - Theory · Physics 2007-05-23 P. Ginsparg , Gregory Moore

An elementary review of quantum cosmology. (Talk given at Texas/Pascos 1992 at Berkeley)

General Relativity and Quantum Cosmology · Physics 2009-10-22 Alexander Vilenkin

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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