Vortragsmanuskripte

Auf dieser Seite finden Sie Vortragsmanuskripte oder Folien einiger ausgewählter Vorträge, die ich gehalten habe.

Vorträge 2023

  • The stringor bundle
    Konferenz "Geometries from Strings and Fields", Galileo Galilei Institute, Juli 2023
    Video  

  • The stringor bundle
    Workshop "Geometric/Topological Quantum Field Theories and Cobordisms", New York University Abu Dhabi, März 2023
    Präsentation  

Vorträge 2022

  • Transgression of higher structures to loop spaces
    Workshop "Loop Space and Higher Category", online, Dezember 2022
    Präsentation  

  • A representation of the string 2-group
    TQFT Club Seminar, online, November 2022
    Video   Präsentation  

  • Geometric T-Duality: Buscher rules in general topology
    Programm "Higher Structures and Field Theory", Erwin-Schrödinger-Institut für Mathematische Physik, August 2022
    Video  

  • Diffeology as an extension of topology by geometry
    Seminar on diffeology and related topics, online, Juni 2022
    Skript  

Vorträge 2021

  • String geometry
    Oberseminar "Renormalisation and Geometry", Universität Potsdam, Juni 2021
    Video  

Vorträge 2020

  • An introduction to higher parallel transport
    Oberseminar "Algebraic and combinatorial perspectives in the mathematical sciences", online, September 2020
    Präsentation   Video  

  • 2-vector bundles, with applications to twisted K-theory and spin geometry
    Programm "Higher Structures and Field Theory", Erwin-Schrödinger-Institut für Mathematische Physik, August 2020
    Skript  

Vorträge 2019

  • Functorial Field Theories and Spin Geometry
    Mathematics Colloquium Series, New York University Abu Dhabi, November 2019
    Skript  

  • Stacks, Gerbes, and T-Duality
    Oberseminar "Differential Geometry", University of Adelaide, Februar 2019
    Skript  

Vorträge 2018

  • Fusion in loop spaces
    Workshop "Geometric Quantization", Banff International Research Station for Mathematical Innovation and Discovery, April 2018
    Video  

  • Non-geometric T-duals and non-abelian gerbes
    Workshop "Quantum Spacetime '18", III. Annual workshop of the COST Action MP1405 "Quantum Structure of Spacetime", Best Western Hotel Expo, Sofia, Februar 2018
    Skript  

Vorträge 2017

  • String connections and loop spaces
    Workshop "Loop spaces, supersymmetry and index theory", Nankai University at Tianjin, Juli 2017
    Präsentation  

Vorträge 2016

  • String geometry and spin geometry on loop spaces
    Parallelsession "Mathematical aspects of string theory and string geometry", Conference ''Classical and quantum symmetries in mathematics and physics'', Friedrich-Schiller-Universität Jena, Juli 2016
    Skript  

  • Transgressive central extensions of loop groups
    Konferenz "Colloquium on Algebras and Representations - Quantum 2016", Universidad Nacional de Córdoba, März 2016
    Skript  

Vorträge 2015

  • String structures and supersymmetric sigma models
    Programm "Higher structures in string theory and quantum field theory", Erwin-Schrödinger-Institut für Mathematische Physik, Dezember 2015
    Skript  

Vorträge 2014

  • Differential string classes and loop spaces
    Workshop "Differential Cohomologies", The Graduate Center, CUNY, August 2014
    Skript   Video  

  • Loop group geometry and transgression
    47. Seminar Sophus Lie, Schloss Rauischholzhausen, Mai 2014
    Skript  

Vorträge 2013

  • Unendlich-Kategorien und Quantenfeldtheorie
    Weihnachtskolloquium, Universität Greifswald, Dezember 2013
    Präsentation  

  • Lectures on gerbes, loop spaces, and Chern-Simons theory
    Workshop "Chern-Simons Theory: Geometry, Topology and Physics", University of Pittsburgh, Mai 2013
    Skript  

  • Lectures on gerbes with connection
    Workshop "Topological Aspects of Quantum Field Theories", National University of Singapore, Januar 2013
    Skript  

Vorträge 2011

  • A loop space formulation for the geometry of abelian gerbes
    Konferenz "Analysis, Geometry, and Quantum Field Theory", Universität Potsdam, Oktober 2011
    Skript  

  • Geometric string structures and supersymmetric sigma models
    Workshop "Higher Gauge Theory, TQFTs, and Categorification", Cardiff University, Mai 2011
    Skript  

  • Abelian gauge theories on loop spaces and their regression
    Workshop "Higher Gauge Theory, TQFT and Quantum Gravity", Instituto Superior Técnico Lisboa, Februar 2011
    Skript  

Vorträge 2010

  • Global Gauge Anomalies in two-dimensional Bosonic Sigma Models
    Workshop "Geometry, Quantum Fields, and Strings: Categorial Aspects", Mathematisches Forschungsinstitut Oberwolfach, Juni 2010
    Skript  

  • Transgression of Gerbes to Loop Spaces
    Workshop "Higher Structures in Topology and Geometry IV", Georg-August-Universität Göttingen, Juni 2010
    Skript  

  • Chern-Simons Theory and the Categorified Group Ring
    Workshop "Twisted K-Theory and Loop Groups", Talbot 2010 workshop, Breckenridge, Colorado, Mai 2010
    Skript  

Vorträge 2009

  • String Connections and Supersymmetric Sigma Models
    Workshop "Homotopy theory and higher algebraic structures", Special Section at AMS Western Section meeting, University of California at Riverside, November 2009
    Skript  

  • Multiplicative Gerbes and Chern-Simons Theory
    Oberseminar "Topologie", Universität Bonn, Oktober 2009
    Skript  

  • String Connections and Chern-Simons 2-Gerbes
    Workshop "Strings, Fields and Topology", Mathematisches Forschungsinstitut Oberwolfach, Juni 2009
    Skript  

  • Smooth Functors for higher-dimensional Parallel Transport
    Workshop "Smooth Structures in Logic, Category Theory and Physics", Ottawa University, Mai 2009
    Skript  

Vorträge 2008

  • Transport Functors and Connections on Gerbes
    Seminar "Topology", University of California at Berkeley, August 2008
    Skript Teil 1   Skript Teil 2  

  • Geometry for 2-Form Gauge Fields
    Konferenz "Tagung des Sonderforschungsbereichs Particles, Strings and the Early Universe", Deutsches Elektronen-Synchrotron DESY Zeuthen, Februar 2008
    Skript  

Vorträge 2007

  • Parallel Transport and Functors
    Konferenz "Categories in Geometry and mathematical Physics", Mediterranean Institute For Life Sciences, September 2007
    Skript  

  • Parallel Transport Functors of Principal Bundles and (non-abelian) Bundle Gerbes
    Konferenz "Principal Bundles, Gerbes and Stacks", VBAC-Meeting, Physikzentrum Bad Honnef, Juni 2007
    Skript  

Vorträge 2006

  • Gerbes in unoriented WZW-Models
    Sommerschule "Modern Mathematical Physics IV", University of Belgrade, September 2006
    Skript  

Vorträge 2005

  • Introduction to Gerbes in Conformal Field Theory
    Workshop "Gerbes, twisted K-theory and conformal field theory", Mathematisches Forschungsinstitut Oberwolfach, August 2005
    Skript  

  • Einführung in die perturbative Quantisierung von Chern-Simons-Theorien
    Blockseminar "Geometrische Aspekte der konformen Feldtheorie", Rerik, Februar 2005
    Skript