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BEGIN:VEVENT
SUMMARY:MAPSS
DTSTART:20260712T065000Z
DTEND:20260721T130000Z
DTSTAMP:20260712T042800Z
UID:indico-event-13851@indico.global
CONTACT:contact@swissmaprs.ch
DESCRIPTION:Speakers: Elise Raphael\, Nikita Nikolaev\, Anton Alexeev\n\nT
 he Mathematical Physics Summer School for masters students and beginning P
 hD students is organized by SwissMAP and offers introductory lectures to d
 ifferent aspects of mathematical physics.\nMini-courses by:\n\nEdward Maze
 nc (ETH Zurich): Introduction to topological recursion\n\nThe ‘t Hooft e
 xpansion of large N matrix theories is remarkable in many ways. Unlike sta
 ndard perturbation theory in quantum field theory\, it is convergent (at e
 ach order in 1/N)\, and suggests a deep connection to string theory. Howev
 er\, Feynman diagram techniques quickly become cumbersome in actual calcul
 ations. Topological recursion was first introduced in the setting of the s
 implest large N theories\, one-matrix models. It provides a powerful tool 
 to resum infinitely many diagrams\, by finding a universal recursion relat
 ion for observables. It turns out topological recursion is much more broad
 ly applicable\, solving a wide range of problems in mathematics and physic
 s. These lectures will introduce the ‘t Hooft expansion in the original 
 setting of matrix model\, and show how topological recursion concretely op
 erates.\n\nNikita Nikolaev (University of Birmingham): Complex geometry\nS
 ébastien Ott (EPFL): Statistical mechanics\n\nThe course will start by in
 troducing the basics of Statistical Mechanics formalism through the exampl
 e of the Ising model/lattice gas (Gibbs measures\, thermodynamic limit\, t
 hermodynamic functions). Then\, we will review the different notions of ph
 ase transitions and their meaning\, and show the occurrence of one in the 
 Ising model. Finally\, we will conclude by a short "guided tour" of what i
 s a scaling limit\, and the links between scaling limits of the critical 2
 D Ising model and Conformal Field Theory.\n\nAlexander Thomas (Université
  Lyon 1): Introduction to TQFTs\n\nTopological quantum field theories are 
 quantum field theories independent on the geometry of the spacetime (depen
 ding only on its topology). We will take a mathematical point of view\, fo
 llowing the description of Atiyah\, in which a TQFT can be seen as a "repr
 esentation theory for manifolds with boundary". After the general definiti
 on\, we will see in detail 1-dimensional TQFTs\, which are tightly linked 
 to knot theory\, and 2-dimensional TQFTs\, related to Frobenius algebras. 
 If time allows\, more examples with ideas from statistical physics will be
  discussed.\n\nFridrich Valach (Charles University): Conformal Field Theor
 y\n\nConformal field theory is an exciting area at the interface of mathem
 atics and theoretical physics. It plays a central role in string theory an
 d provides an invaluable description of statistical systems near their cri
 tical points\; on the mathematical side it is (among other things) related
  to representation theory or the theory of special functions. After a brie
 f physical motivation\, this minicourse aims to introduce the basic concep
 ts and lay foundations for this wide field\, as well as explore connection
 s to the above areas.\n\nRamona Wolf (University of Innsbruck): Introducti
 on to quantum information theory\n\nQuantum information theory (QIT) exten
 ds the concepts and tools of classical information theory to quantum syste
 ms. By exploiting fundamental features of quantum mechanics\, such as supe
 rposition and entanglement\, quantum information processing enables tasks 
 that are impossible in classical settings. This course introduces the math
 ematical framework of QIT\, including quantum states\, measurements\, comp
 osite systems\, and quantum operations. We will explore fundamental protoc
 ols such as quantum teleportation and superdense coding\, and discuss how 
 they exploit the distinctive properties of quantum mechanics.\n \n \nThe
  provisional registration deadline is April 30\, 2026.\n \n\n \n \n \n
 \nhttps://indico.global/event/13851/
IMAGE;VALUE=URI:https://indico.global/event/13851/logo-2098723454.png
LOCATION:Hotel Les Sources
URL:https://indico.global/event/13851/
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