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mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).

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Alexander Schenkel's picture

Alexander Schenkel

University of Nottingham
http://www.aschenkel.eu

Papers

On the equivalence of AQFTs and prefactorization algebras

Marco Benini, Victor Carmona, Alastair Grant-Stuart, Alexander Schenkel
December 10, 2024
algebraic quantum field theory, factorization algebras, homotopical algebra, operads, localizations, Lorentzian geometry
open access link

Derived algebraic geometry of 2d lattice Yang-Mills theory

Marco Benini, Tomás Fernández, Alexander Schenkel
September 10, 2024
Derived algebraic geometry, derived critical locus, lattice gauge theory, dg-categories, prefactorization algebras
open access link

Haag-Kastler stacks

Marco Benini, Alastair Grant-Stuart, Alexander Schenkel
April 22, 2024
algebraic quantum field theory, locally covariant quantum field theory, Lorentzian geometry, stacks, descent conditions, locally presentable categories
open access link

Obstructions to the existence of Møller maps

Marco Benini, Alastair Grant-Stuart, Giorgio Musante, Alexander Schenkel
October 31, 2023
perturbative field theory, Møller maps, Batalin-Vilkovisky formalism, L∞-algebras
open access link

Lorentzian bordisms in algebraic quantum field theory

Severin Bunk, James MacManus, Alexander Schenkel
August 02, 2023
algebraic quantum field theory, functorial field theory, Lorentzian geometry, bordisms, pseudo-categories
open access link

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Slides

  • Title: Higher Structures in Algebraic Quantum Field Theory
    Event: Mathematics of interacting QFT models
    Date: July 2, 2019
  • Title: From Fredenhagen's universal algebra to homotopy theory and operads
    Event: Quantum Physics meets Mathematics - a workshop on the occasion of Klaus Fredenhagen's 70th birthday
    Date: December 9, 2017
  • Title: Homotopy Theory + AQFT = Quantum Gauge Theory?
    Event: Quantum Field Theory: Concepts, Constructions & Curved Spacetimes
    Date: April 5, 2017

Theses

Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes

Alexander Schenkel
PhD Thesis, 2011, Würzburg
Advisor: Thorsten Ohl
noncommutative geometry, noncommutative gravity, QFT on non-commutative spaces, QFT on curved spacetimes
open access link

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