Slides

1. Talks given in 2020
   • Topic: What is...$2$-representation theory? - Or: Why do I care?, Talk (via Zoom) at the Hausdorff Institute of Mathematics (September 2020). Slides
   • Topic: On categories of tilting modules - Or: Mind your poles!, Talk (via Zoom) at the University of Oregon (August 2020). Slides
   • Topic: Why $2$-representation theory? - Or: Representation theory of the 21th century!?, Talk (via Zoom) at Trinity College Dublin (April 2020). Slides, Slides2
   • Topic: $2$-representation of Soergel bimodules - Or: Mind your twists; Talk at the Joint meeting of the British Mathematical Colloqium (BMC) and the British Applied Mathematics Colloquium (BAMC) (April 2020, but postponed; here what I planned to talk about). Slides
   • Topic: Why $2$-representation theory? - Or: Representation theory of the 21th century!?, Talk at the Vrije Universiteit Brussel (March 2020). Slides, Slides2, Slides3
   • Topic: All I know about Artin-Tits groups - Or: Why type A is so much easier...; Talk at Université Paris Diderot, (March 2020). Slides
   • Topic: What is...$2$-representation theory? - Or: Of matrices and functors, Talk at the Universität Graz (January 2020). Slides, Slides2
2. Talks given in 2019
   • Topic: 2-representations of Soergel bimodules I - Or: $\mathcal{H}$-cells and asymptotes; Talk at Casa Matemática Oaxaca (CMO), (December 2019). Slides
   • Topic: 2-representations of Soergel bimodules - Or: Mind your groups; Talk at Columbia University, (September 2019). Slides
   • Topic: 2-representations of Soergel bimodules - dihedral case - Or: Who colored my Dynkin diagrams?; Talk at Columbia University, (September 2019). Slides
   • Topic: Dihedral groups, $\mathrm{SL}(2)_{q}$ and beyond - Or: Who colored my Dynkin diagrams?; Talk at the University of East Anglia, (July 2019). Slides
   • Topic: $2$-representation theory of Soergel bimodules - Or: Mind your groups; Talk at Karlsruhe Institute for Technology, (June 2019). Slides
   • Topic: All I know about Artin-Tits groups - Or: Why type A is so much easier...; Talk at Uppsala universitet, (April 2019). Slides
   • Topic: A tale of dihedral groups, $\mathrm{SL}(2)_q$, and beyond - Or: Who colored my Dynkin diagrams?; Talk at the Vrije Universiteit Brussel (VUB) and the Université libre de Bruxelles (ULB) and the Université catholique de Louvain (UCL), (March 2019). Slides
   • Topic: Handlebodies, Artin-Tits and HOMFLYPT - Or: All I know about Artin-Tits groups; and a filler for the remaining 59 minutes; Talk at the University of Sydney, (March 2019). Slides
   • Topic: Handlebodies, Artin-Tits and HOMFLYPT - Or: All I know about Artin-Tits groups; and a filler for the remaining 59 minutes; Talk at the University of Melbourne, (March 2019). Slides
   • Topic: What is...finitary $2$-representation theory? - Or: A (fairy) tale of matrices and functor; Talk at the Australian National University (ANU), (February 2019). Slides
   • Topic: A tale of dihedral groups, $\mathrm{SL}(2)_q$, and beyond - Or: Who colored my Dynkin diagrams?; Talk at the Australian National University (ANU), (February 2019). Slides, Notes
   • Topic: HOMFLYPT homology for links in handlebodies - Or: All I know about Artin-Tits groups; and a filler for the remaining 49 minutes, Talk at the Australian National University (ANU), (February 2019). Slides
   • Topic: HOMFLYPT homology for links in handlebodies - Or: All I know about Artin-Tits groups; and a filler for the remaining 59 minutes, Talk at the Vrije Universiteit Brussel (VUB) and the Université libre de Bruxelles (ULB) and the Université catholique de Louvain (UCL), (January 2019). Slides
   • Topic: A primer on finitary $2$-representation theory - Or: $\mathbb{N}_{0}$-matrices, my love, Talk at the Erwin Schrödinger International Institute for Mathematics and Physics (January 2019). Slides
3. Talks given in 2018
   • Topic: Generalizing zigzag algebras - Or: It's all about polynomials, Talk at the University of Southern California (November 2018). Slides
   • Topic: What is...($2$-)representation theory? - Or: A (fairy) tale of matrices and functors, Colloquium talk at the ETH Zürich and the Universität Zürich (October 2018). Slides
   • Topic: $2$-representation theory in a nutshell - Or: $\mathbb{N}_{0}$-matrices, my love, Talk at the ETH Zürich (October 2018). Slides
   • Topic: A tale of dihedral groups, $\mathrm{SL}(2)$, and beyond - Or: $\mathbb{N}_{0}$-matrices, my love, Talk at the Universität Freiburg (July 2018). Slides
   • Topic: Di- and trihedral ($2$-)representation theory I - Or: Who colored my Dynkin diagrams?, Talk at the Institute Mittag-Leffler (July 2018). Slides; Part II by Marco Mackaay: Slides
   • Topic: $2$-representation theory in a nutshell - Or: A tale of matrices and functors, Talk at the Universität Hamburg (June 2018). Slides
   • Topic: Link invariants and orbifolds - Or: What makes types $\mathrm{ABCD}$ special?, Talk in Aarhus at the QGM (April 2018). Slides
   • Topic: Link invariants and $\mathbb{Z}/2\mathbb{Z}$-orbifolds - Or: What makes types $\mathrm{ABCD}$ special?, Talk at a conference in Riederalp (January 2018). Slides
 
4. Talks given in 2017
   • Topic: Categorical representations of dihedral groups - Or: $\mathbb{Z}_{\geq 0}$-valued matrices, my love, Talk at the Universidade do Algarve (September 2017). Slides
   • Topic: Webs and $\mathrm{q}$-Howe dualities in types $\mathbf{BCD}$ - Or: “Howe” not to define link invariants, Talk at University of Cambridge (June 2017). Slides
   • Topic: $2$-representation theory of Coxeter groups: a biased survey - Or: The next generation of representation theory of Coxeter groups!?, Talk at Universität Zürich (April 2017). Slides
   • Topic: Webs and $\mathrm{q}$-Howe dualities in types $\mathbf{BCD}$ - Or: A story about “howe” I failed, Talk at Uppsala universitet (April 2017). Slides
   • Topic: $2$-representation theory of Coxeter groups: some first steps - Or: The next generation of representation theory of Coxeter groups!?, Talk at Columbia University (February 2017). Slides
 
5. Talks given in 2016
   • Topic: Some first steps towards $2$-representation theory of Coxeter groups - Or: The next generation of representation theory of Coxeter groups!?, Talk at the Université catholique de Louvain (October 2016). Slides
   • Topic: Some first steps towards $2$-representation theory of Coxeter groups - Or: The next generation of representation theory of Coxeter groups!?, Talk at the Université de Montpellier (October 2016). Slides
 
6. Talks given in 2015
   • Topic: (Singular) TQFTs, link homologies and Lie theory $2$ - Or: Fun with singular surfaces, Talk at the School of Mathematics of the University of Edinburgh (November 2015). Slides
   • Topic: (Singular) TQFTs, link homologies and Lie theory $1$ - Or: A story of foams and $\mathcal{O}$, Talk at the School of Mathematics of the University of Edinburgh (November 2015). Slides
   • Topic: Web calculi in representation theory - Or: The diagrammatic presentation machine, Talk at Mathematisch Instituut of the Universiteit Leiden (October 2015). Slides
   • Topic: Cellular structures using $\textbf{U}_q$-tilting modules - Or: Centralizer algebras are fun!, Talk at the 2015 annual meeting of the Deutschen Mathematiker-Vereinigung (DMV), Hamburg (September 2015). Slides
   • Topic: Web calculi in representation theory - Or: The diagrammatic presentation machine, Talk at Max-Planck-Institut for mathematics (MPIM) of the Universität Bonn (August 2015). Slides
   • Topic: Cellular structures using $\textbf{U}_q$-tilting modules - Or: Centralizer algebras are fun!, Talk at the Mathematisches Institut of the Universität Freiburg (July 2015). Slides
   • Topic: From dualities to diagrams - Or: The diagrammatic presentation machine, Talk at the Institut de Mathématiques de Jussieu (IMJ) in Paris (June 2015). Slides
   • Topic: $\textbf{U}_q(\mathfrak{gl}_N)$-diagram categories via super $q$-Howe duality - Or: The diagrammatic presentation machine, Talk at the Mathematics Department of the Faculty of Sciences of the University of Porto (June 2015). Slides
   • Topic: From dualities to diagrams - Or: The diagrammatic presentation machine, Talk at the Erwin Schrödinger Institute (ESI) in Vienna (May 2015). Slides
   • Topic: Cellular structures using $\textbf{U}_q$-tilting modules - Or: Centralizer algebras are fun!, Talk at the Mathematisches Institut of the Universität Bonn (April 2015). Slides
   • Topic: $\textbf{U}_q(\mathfrak{sl}_n)$-diagram categories via $q$-Howe duality - Or: From dualities to diagrams, Talk at the Hausdorff Research Institute for Mathematics (HIM) in Bonn (March 2015). Slides
   • Topic: $\textbf{U}_q(\mathfrak{sl}_n)$-diagram categories via $q$-Howe duality - Or: “Howe” to make diagrammatic categories work!, Talk at the University of Sydney (February 2015). Slides
   • Topic: $\textbf{U}_q(\mathfrak{sl}_n)$-diagram categories via $q$-Howe duality - Or: “Howe” to make diagrammatic categories work!, Talk at the Université catholique de Louvain (February 2015). Slides
 
7. Talks given in 2014
   • Topic: Diagram categories for $\textbf{U}_q$-tilting modules at roots of unity - Or: Fun with diagrams!, Talk at the QGM Nielsen Retreat 2014, Sandbjerg Estate (October 2014). Slides
   • Topic: Categorification in topology - Or: Fun with highest weight modules!, Minitalk at the MFO, Oberwolfach (September 2014). Slides
   • Topic: $\dot{\mathbf{U}}_q(\mathfrak{sl}_m)$-highest weight theory governs $\mathfrak{sl}_n$-link homology, Talk at the Université catholique de Louvain (May 2014). Slides
   • Topic: $\mathfrak{sl}_n$-link homologies using $\dot{\mathbf{U}}_q(\mathfrak{sl}_m)$-highest weight theory - the $m$ is not a typo!, Talk in Aarhus at the QGM (April 2014). Slides
   • Topic: Categorification: An introduction to $\mathfrak{sl}_n$-link homologies, Talk at the Kerala School of Mathematics (KSOM), Kerala (March 2014). Slides
   • Topic: $\mathfrak{sl}_n$-link homologies using $\dot{\mathbf{U}}_q(\mathfrak{sl}_m)$-highest weight theory, Summary of my research in the first quarter 2014 at the Kerala School of Mathematics (KSOM), Kerala (March 2014). Slides
   • Topic: The diagrammatic beauty of $\mathbf{Rep}(\mathbf{U}_q(\mathfrak{sl}_n))$ - Part II, Talk at the TATA Institute (TIFR), Mumbai (March 2014). Slides
   • Topic: The diagrammatic beauty of $\mathbf{Rep}(\mathbf{U}_q(\mathfrak{sl}_n))$ - Part I, Talk at the TATA Institute (TIFR), Mumbai (March 2014). Slides
 
8. Talks given before 2014
   • Topic: $\mathfrak{sl}_3$-web bases, categorification and link invariants, Talk in Aarhus (November 2013). Slides
   • Topic: $\mathfrak{sl}_3$-web bases, intermediate crystal bases and categorification, Talk in Bonn (October 2013). Slides
   • Topic: Web bases and categorification, Talk in Aarhus at the QGM (October 2013). Slides
   • Topic: Categorification and applications in topology and representation theory, Talk in Göttingen (July 2013). Slides
   • Topic: Categorification and (virtual) knots, Talk in San Francisco (February 2013). Slides
   • Topic: The sl₃ web algebra, Talk in Goslar (October 2012). Slides