In the mathematical theory of knots, the Kontsevich invariant, also known as the Kontsevich integral of an oriented framed link, is a universal Vassiliev invariant in the sense that any coefficient of the Kontsevich invariant is of a finite type, and conversely any finite type invariant can be presented as a linear combination of such coefficients. It was defined by Maxim Kontsevich. The Kontsevich invariant is a universal quantum invariant in the sense that any quantum invariant may be recovered by substituting the appropriate into any . (Wikipedia).
Fukaya category of a Hamiltonian fibration (Lecture – 01) by Yasha Savelyev
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Fukaya category of a Hamiltonian fibration (Lecture – 02) by Yasha Savelyev
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Lagrangian Floer theory (Lecture – 02) by Sushmita Venugopalan
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
18. Invariants problems numbers 35-39.
I had a disaster for the first time since I've been doing this, which was to spend about an hour and a half recording a video, as I thought, only to discover that I had not pressed the record button. The selection this time turned out to consist of four problems that were uninteresting bec
From playlist Thinking about maths problems in real time: mostly invariants problems
Homological Mirror Symmetry - Nicholas Sheridan
Nicholas Sheridan Massachusetts Institute of Technology; Member, School of Mathematics February 11, 2013 Mirror symmetry is a deep conjectural relationship between complex and symplectic geometry. It was first noticed by string theorists. Mathematicians became interested in it when string
From playlist Mathematics
Gromov–Witten Invariants and the Virasoro Conjecture. III by Ezra Getzler
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Maxim Kontsevich, Reflections, orthogonal and symplectic
Maxim KONTSEVICH (IHÉS) "Reflections, orthogonal and symplectic"
From playlist Après-midi en l'honneur de Victor KAC
Isocontact and isosymplectic immersions and embeddings by Mahuya Datta
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Delphine Moussard: Finite type invariants of knots in homology 3-spheres
Abstract: Résumé : For null-homologous knots in rational homology 3-spheres, there are two equivariant invariants obtained by universal constructions à la Kontsevich, one due to Kricker and defined as a lift of the Kontsevich integral, and the other constructed by Lescop by means of integr
From playlist Topology
Bertrand Eynard - 3/4 Topological Recursion, from Enumerative Geometry to Integrability
https://indico.math.cnrs.fr/event/3191/ Topological recursion (TR) is a remarkable universal recursive structure that has been found in many enumerative geometry problems, from combinatorics of maps (discrete surfaces), to random matrices, Gromov-Witten invariants, knot polynomials, confor
From playlist Bertrand Eynard - Topological Recursion, from Enumerative Geometry to Integrability
Bertrand Eynard - 2/4 Topological Recursion, from Enumerative Geometry to Integrability
https://indico.math.cnrs.fr/event/3191/ Topological recursion (TR) is a remarkable universal recursive structure that has been found in many enumerative geometry problems, from combinatorics of maps (discrete surfaces), to random matrices, Gromov-Witten invariants, knot polynomials, confor
From playlist Bertrand Eynard - Topological Recursion, from Enumerative Geometry to Integrability
Gromov–Witten Invariants and the Virasoro Conjecture - II (Remote Talk) by Ezra Getzler
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Tom Bridgeland: Wall-crossing for Donaldson-Thomas invariants
Abstract: There is a very general story, due to Joyce and Kontsevich-Soibelman, which associates to a CY3 (three-dimensional Calabi-Yau) triangulated category equipped with a stability condition some rational numbers called Donaldson-Thomas (DT) invariants. The point I want to emphasise is
From playlist Mathematical Physics
Enumerative geometry via the moduli space of super Riemann surfaces - Prof.Norbury (U. of Melbourne)
Mumford initiated the calculation of many algebraic topological invariants over the moduli space of Riemann surfaces in the 1980s, and Witten related these invariants to two dimensional gravity in the 1990s. This viewpoint led Witten to a conjecture, proven by Kontsevich, that a generating
Tony Yue Yu - 3/4 The Frobenius Structure Conjecture for Log Calabi-Yau Varieties
Notes: https://nextcloud.ihes.fr/index.php/s/pSQnsgx72a4S5zj 3/4 - Naive counts, tail conditions and deformation invariance. --- We show that the naive counts of rational curves in an affine log Calabi-Yau variety U, containing an open algebraic torus, determine in a surprisingly simple w
From playlist Tony Yue Yu - The Frobenius Structure Conjecture for Log Calabi-Yau Varieties
Symplectic homology, algebraic operations on (Lecture – 03) by Janko Latschev
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Symplectic homology, algebraic operations on it and their applications by Janko Latschev
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Symplectic homology, algebraic operations on it and their applications by Janko Latschev
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Transversality and super-rigidity in Gromov-Witten Theory by Chris Wendl
J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru
From playlist J-Holomorphic Curves and Gromov-Witten Invariants
Tony Yue Yu - 2/4 The Frobenius Structure Conjecture for Log Calabi-Yau Varieties
Notes: https://nextcloud.ihes.fr/index.php/s/8KTr2Mfdk22rpqX 2/4 - Skeletal curves: a key notion in the theory. --- We show that the naive counts of rational curves in an affine log Calabi-Yau variety U, containing an open algebraic torus, determine in a surprisingly simple way, a family
From playlist Tony Yue Yu - The Frobenius Structure Conjecture for Log Calabi-Yau Varieties