Seminars

• Complex Geometry research seminar Principle G-bundles for non-connected groups G
  • Winter Semester 2023-2024
    • Talk 2: Twisted equivariant structures on bundles.(notes)
• Groebner Bases Infinite dimensional Geometric Invariant Theory via affine grassmanians
  • Winter Semester 2023 (a semiar co-organized with my colleagues Juan-Martin Perez Bernal, Cesare Goretti and Jan Marten Sevenster)
    • Talk 1: Groebner bases, commutative and non-commutative cases.(notes)
    • Talk 2: Hochschield cohomology.(notes)
    • Talk 3: Exactness.(notes)
  • On the Hitchin morphism for higher dimensional varieties Infinite dimensional Geometric Invariant Theory via affine grassmanians
  • Winter Semester 2021 (a semiar co-organized with my colleague Juan Martin Perez Bernal)
  • Seminar program.
    • Talk 1: Hitchin fibration for algebraic curves.(notes)
    • Talk 2: Spectral covers.(notes)
    • Talk 3: Cameral covers.(notes)
    • Talk 4: Representability Lemma.(notes)
    • Talk 5: Spectral data morphism and Hitchin map via Weyl polarization.(notes)
    • Talk 6: Cohen-Macaulay spectral surfaces.(notes)
    • Talk 7: Some examples and consequences.(notes)
• Bridgeland stability conditions Infinite dimensional Geometric Invariant Theory via affine grassmanians
  • Summer Semester 2022 (a semiar co-organized with my colleague Juan-Martin Perez Bernal)
  • Seminar program.
  • Talk 1: The motivating example of Num_X.(notes)
  • Talk 3: Bridgeland stability conditions.(notes)
  • Talk 4: Moduli Spaces.(notes)
  • Talk 5: Walls_and_chambers.(notes)
• Infinite dimensional GIT Infinite dimensional Geometric Invariant Theory via affine grassmanians
  • Winter Semester 2021 (a semiar co-organized with my colleague Juan Martin Perez Bernal)
  • Seminar program.
    • Talk 1: Affine grassmanians for GL_n.(notes)
    • Talk 2: Corepresentability ofthe moduli functor of semistable bundles.(notes)
    • Talk 3: Theta instability theory.(notes)
    • Talk 5: Classical vs Infinite dimensional GIT.(notes)
    • Talk 6: Rational filling for torsion-free sheaves.(notes)
    • Talk 7: Theta stratifications.(notes)
    • Talk 8: The geometric template.(notes)
• Freie Universität Berlin, Berlin, Germany
  Computing E-Polynomials for certain character varieties
  • 28 May 2021