Slides

Talk slides (PDF).

• Quantum medium algebras — SAGA (Orsay) (May 2026) PDF
• Anatomy of big algebras — Math+ Friday (Berlin) (November 2025) PDF
• Ringifying intersection cohomology — Sydney (October 2025) PDF
• Anatomy of big algebras — SMRI seminar (Sydney) (October 2025) PDF
• Ringifying intersection cohomology — Bernoulli center, EPFL (August 2025) PDF
• Ringifying intersection cohomology — Les Diablerets (June 2025) PDF
• Geometric representation theory from Higgs bundles — Santiago de Compostela (May 2025) PDF
• Commutative avatars for baryon multiplets — CERN (March 2025) PDF
• Anatomy of big algebras I & II — GAAG seminar EPFL (February 2025) PDFlink
• Anatomy of big algebras — Séminaire "Groupes de Lie et espaces de modules" (Geneva) (February 2025) PDFlink
• Anatomy of big algebras — Rényi Institute Colloquium (Budapest) (December 2024) PDFlink
• Anatomy of big algebras (public talk + seminar talk) — Dublin (November 2024) PDFlink
• Mirror symmetry and big algebras — Stony Brook (July 2024) PDF
• Higgs bundle tournaments — Trieste (July 2024) PDF
• Anatomy of big algebras — Hamburg (June 2024) PDF
• Anatomy of big algebras — Paris (June 2024) PDF
• Higgs bundle tournaments — Vienna (December 2023) PDF
• Higgs bundle tournaments — Frankfurt, Graz (October 2023) PDF
• Mirror symmetry and big algebras (parts 1, 2, 3) — Madrid (April 2023) PDFlink
• Mirror symmetry and big algebras — Paris (Collège de France) (April 2023) PDFlink
• Enhanced mirror symmetry for Langlands dual Hitchin systems — Zurich (ICM) (July 2022) PDF
• Topological mirror symmetry for Hitchin systems — Hamburg (September 2018) PDF
• Refined geometric invariants and representation theory — Paris (March 2017) PDF
• Equivariant Verlinde algebra for Higgs bundles — Paris (March 2017) PDF
• Perverse Hirzebruch y-genus of Hitchin systems — Waterloo (February 2017) PDF
• Enumerative invariants of Higgs moduli spaces (Lectures 1-4) — Austin (February 2017) PDFlink
• Refined geometric invariants and representation theory — Oxford (September 2016) PDF
• Toric non-Abelian Hodge theory II — Madrid (September 2016) PDF
• Equivariant Verlinde algebra for Higgs bundles — Aarhus (September 2016) PDF
• Toric non-Abelian Hodge theory II — Luminy (October 2015) PDF
• Toy models of hyperkähler moduli spaces — Cambridge (July 2015) PDF
• Arithmetic of wild character varieties — Utah (July 2015) PDF
• Arithmetic of wild character varieties — Singapore, Pavia (Aug 2014) PDF
• Betti numbers of large hyperkähler manifolds — Essen, Montreal, Bonn, Zürich, Fribourg (June 2013) PDF
• Arithmetic and physics of Higgs moduli spaces (Lectures 1-3) — Montreal (May 2013) PDFlink
• Topology and arithmetic of character varieties — Miraflores (March 2013) PDF
• Magic Pictures, inaugural lecture — EPFL (March 2013) PDF
• Cohomology of Higgs moduli spaces (Lectures 1-3) — Ascona (January 2013) PDFlink
• Mirror symmetry in the character table of SL_n(F_q) — Toronto (October 2012) PDF
• Positivity for Kac polynomials and DT-invariants of quivers — Luminy (Lausanne, Rome, Berlin) (July 2012) PDF
• Mirror symmetry in the character table of SL_n(F_q) — Orsay (June 2012) PDF
• Arithmetic and physics in discrete algebraic geometry — Calgary (March 2012) PDF
• Symmetries of SL(n) Hitchin fibers — Banff (Cardiff, Hamburg) (March 2012) PDF
• Symmetries of SL(n) Hitchin fibers — Zurich (Madrid, Oxford) (December 2011) PDF
• Arithmetic and physics of Higgs moduli spaces — Leeds (Santa Barbara, Cambridge, Oxford, Jussieu, Columbia, Stony Brook, Imperial) (July 2011) PDF
• Quiver representations and the cohomology of Hitchin fibers — Oberwolfach PDF
• Mirror symmetry, Langlands duality and the Hitchin system (Simons lecture series, Lectures 1-3) — Stony Brook (October 2010) PDFlink
• Global Topology of the Hitchin System (5 lecture course, Problem sheet) — Bonn (July 2010) PDF
• Mirror symmetry, Langlands duality and the Hitchin system (5 lecture course) — Barcelona (March 2010) PDF
• Kac's conjectures via arithmetic harmonic analysis (Lectures 1-3) — Luminy (September 2009) PDFlink
• Kac's conjectures via arithmetic harmonic analysis (5 hours lecture course) — Cologne (July 2009) PDF
• Arithmetic harmonic analysis on holomorphic symplectic quotients — Seoul (Sheffield) (April 2009) PDF
• Topology of the Hithin map and the arithmetic of the character variety — Cambridge (November 2008) PDF
• Topology of the Hithin map and the arithmetic of the character variety — Oxford (Edinburgh, York) (October 2008) PDF
• Arithmetic harmonic analysis on holomorphic symplectic quotients — Barcelona (Bonn, Geneva) (June 2008) PDF
• Toric Non-Abelian Hodge Theory — Toronto (Glasgow, Oxford, Kyoto, Tokyo) (January 2008) PDF
• Mixed Hodge polynomials of character varieties — Aarhus (June 2007) PDF
• S-duality in hyperkähler Hodge theory — Madrid (September 2006) PDF
• Cohomology of hyperkähler moduli spaces via arithmetic harmonic analysis (90 minutes talk) — Kyoto (various subsets in Oxford, Leeds, Glasgow, Edinburgh, Nagoya) (November 2005) PDF
• Betti numbers of hyperkähler manifolds via arithmetic harmonic analysis (two talks) — Budapest (various subsets in Paris, Grenoble, Montpellier, Oxford, Cambridge, London) (November 2005) PDF
• Cohomology of hyperkähler moduli spaces via arithmetic harmonic analysis — Seattle (July 2005) PDF
• Cohomology of hyperkähler spaces in gauge theory — Banff (May 2005) PDF
• Quaternionic Geometry of Matroids — Calgary (May 2005) PDF
• Arithmetic harmonic analysis and cohomology of hyperkähler manifolds — Santa Barbara, Urbana-Champaign, Toronto, Budapest (April 2005) PDF
• Cohomology of hyperkähler quotients — Palo Alto (August 2004) PDF
• Quaternionic Geometry of Everything — Houston (April 2004)