Home » Lectures (Page 11)
Category Archives: Lectures
Giulia Saccà: Lectures
June 3, 2020 TITLE: Hyperkahler manifolds are higher dimensional K3 surfaces ABSTRACT: This talk will survey some aspects of the theory of hyperkahler manifolds. The focus will be on how many of the properties enjoyed by this class of manifolds are the natural generalization of similar properties enjoyed by K3 surfaces.
Andrew Neitzke: Lectures
01/12/21: Riemann-Hilbert problems, Hitchin systems and the conformal limit 06/03/20: An update on hyperkahler metrics on moduli of Higgs bundles January 12, 2021 Lecture cancelled TITLE: Riemann-Hilbert problems, Hitchin systems and the conformal limit ABSTRACT: Given a Riemann surface C equipped with a meromorphic quadratic differential, one can define two natural families of flat sl(2)-connections […]
Jaroslaw Wisniewski: Lectures
June 1, 2020 TITLE: Quaternion-Kähler Manifolds via algebraic torus action on projective contact manifolds ABSTRACT: Let be a positive quaternion-Kähler manifold of (real) dimension . A conjecture by LeBrun and Salamon asserts that is symmetric. The twistor space of is known to be a projective Fano X manifold of (complex) dimension with reductive group of […]
Balázs Szendrői: Lectures
June 5, 2020 TITLE: Global aspects of Calabi-Yau moduli space ABSTRACT: I will give a review of global aspects of the moduli space of Calabi-Yau manifolds (holonomy SU(n)) and the period map, concentrating on the three-dimensional case. I will in particular explain what’s known about the Torelli problem in this setting. Slides of lecture
Eleny Ionel: Lectures
01/09/2020: Counting embedded curves in 3-folds January 9, 2020 TITLE: Counting embedded curves in 3-folds ABSTRACT: There are several ways of counting holomorphic curves in 3-folds. Counting them as maps gives rise to the Gromov-Witten invariant, but in general, these are not integer counts due to the presence of multiple covers with symmetries. In joint […]
Davesh Maulik: Lectures
01/08/2020: Stable pair invariants for Calabi-Yau 4-folds January 8, 2020 TITLE: Stable pair invariants for Calabi-Yau 4-folds ABSTRACT: In this talk, I’ll survey integrality conjectures for curve-counting on CY 4-folds (following Klemm-Pandharipande) and a proposal (joint with Y. Cao and Y. Toda) for how to match them with sheaf-theoretic invariants.
Tristan Rivière: Lectures
01/08/2020: Lp-bounded curvatures in high dimensions January 8, 2020 TITLE: Lp-bounded curvatures in high dimensions ABSTRACT: In this talk we shall be presenting some analysis aspects of gauge theory in high dimension. In the first part we will study the completion of the space of arbitrary smooth bundles and connections under Lp-control of their curvature. […]
Tony Pantev: Lectures
01/06/2020 and 01/07/2020: Constructing shifted symplectic structures January 6, 2020 and January 7, 2020 TITLE: Constructing shifted symplectic structures ABSTRACT: I will explain an important extension of Hamiltonian and Quasi-Hamiltonian reduction which uses derived geometry in an essential way. This extension has a lot of built in flexibility and provides a universal construction of many […]
Penka Georgieva: Lectures
01/09/2020: Real Gromov-Witten theory January 9, 2020 TITLE: Real Gromov-Witten theory ABSTRACT: For a symplectic manifold with an anti-symplectic involution one can consider J-holomorphic maps invariant under the involution. These maps give rise to real Gromov-Witten invariants and are related to real enumerative geometry in the same spirit as their more classical counterparts; in physics […]
Vivek Shende: Lectures
01/09/2020: Skeins on Branes January 9, 2020 TITLE: Skeins on Branes ABSTRACT: 30 years ago, Witten explained how the Jones polynomial and its relatives – at the time, the latest word in knot invariants – arise naturally from a certain quantum field theory. Ten years later, Ooguri and Vafa used string theory to argue that […]
