Видео 672
Просмотров 70 589

Jakob Hultgren Umeå University: SYZ for hypersurfaces of toric Fano manifolds & optimal transport II

1:10:48

Bernd Siebert, University of Texas Austin: From toric degenerations to intrinsic mirror symmetry II

1:09:46

Javier Fernández de Bobadilla, Basque Foundation for Science: Lagrangian tori at radius zero

1:01:23

Cheol Hyun Cho, Seoul Natl Univ: On the unit normal correspondence for a monotone divisor complement

1:06:15

Tomasz Pelka, Institute of Math of the Polish Academy of Sciences: Lagrangian tori at radius zero

1:06:31

Jakob Hultgren, Umeå University: SYZ for hypersurfaces of toric Fano manifolds & optimal transport I

57:54

Michel van Garrel, ETH Zürich: BPS invariants of scattering diagrams and spectral networks

Michel van Garrel, ETH Zürich: BPS invariants of scattering diagrams and spectral networks
On one hand, scattering diagrams were developed by Kontsevich-Soibelman and Gross-Siebert in order to smooth Calabi-Yau geometries. On the other hand, one may associate a spectral network to the mirror curve to a toric Calabi-Yau threefold. To the former, one may associate log BPS numbers counting maximally tangent curves. To the latter, one may associate BPS numbers conjecturally counting stable Lagrangians. For a large class of examples for which the toric Calabi-Yau threefolds have no compact divisors, by passing through intermediate quivers, I will show a correspondence between the respective BPS...

Видео

Jakob Hultgren Umeå University: SYZ for hypersurfaces of toric Fano manifolds & optimal transport II

1:10:48

Jakob Hultgren Umeå University: SYZ for hypersurfaces of toric Fano manifolds & optimal transport II

Просмотров 67 часов назад

Jakob Hultgren, Umeå University: SYZ for hypersurfaces of toric Fano manifolds and optimal transport II The original SYZ-conjecture in mirror symmetry asks for special Lagrangian torus fibrations in Calabi-Yau manifolds. I will focus on families of Calabi-Yau hypersurfaces in toric Fano manifolds. Recent work by Yang Li reduces a weak version of the SYZ-conjecture in this setting to the solvabi...

Bernd Siebert, University of Texas Austin: From toric degenerations to intrinsic mirror symmetry II

1:09:46

Bernd Siebert, University of Texas Austin: From toric degenerations to intrinsic mirror symmetry II

Просмотров 117 часов назад

Bernd Siebert, University of Texas at Austin: From toric degenerations to intrinsic mirror symmetry II I will survey my joint program with Mark Gross providing an algebraic-geometric perspective on the SYZ dual torus fibrations in mirror symmetry: Our original synthetic approach constructed mirror dual degenerating families with central fibers unions of toric varieties via wall structures. More...

Javier Fernández de Bobadilla, Basque Foundation for Science: Lagrangian tori at radius zero

1:01:23

Javier Fernández de Bobadilla, Basque Foundation for Science: Lagrangian tori at radius zero

Просмотров 57 часов назад

Javier Fernández de Bobadilla, Basque Foundation for Science: Lagrangian tori at radius zero We will present a new technique to construct Lagrangian tori in degenerations of Kahler manifolds. For maximally degenerate families of Calabi-Yaus, these tori have some asymptotic properties expected from the SYZ picture: they fill almost all volume, collapse in the Gromov-Haudsdorff metric to the esse...

Cheol Hyun Cho, Seoul Natl Univ: On the unit normal correspondence for a monotone divisor complement

1:06:15

Cheol Hyun Cho, Seoul Natl Univ: On the unit normal correspondence for a monotone divisor complement

Просмотров 67 часов назад

Cheol Hyun Cho, Seoul National University: On the unit normal correspondence for a monotone divisor complement We study the relation between the Fukaya category of a monotone divisor and its complement. More precisely, there is a new Fukaya category of the complement (defined using the popsicle maps with the insertions of the Reeb orbits Γ around the divisor) , which is then deformed using a pa...

Tomasz Pelka, Institute of Math of the Polish Academy of Sciences: Lagrangian tori at radius zero

1:06:31

Tomasz Pelka, Institute of Math of the Polish Academy of Sciences: Lagrangian tori at radius zero

Просмотров 429 часов назад

Tomasz Pelka, Institute of Mathematics of the Polish Academy of Sciences: Lagrangian tori at radius zero We will present a new technique to construct Lagrangian tori in degenerations of Kahler manifolds. For maximally degenerate families of Calabi-Yaus, these tori have some asymptotic properties expected from the SYZ picture: they fill almost all volume, collapse in the Gromov-Haudsdorff metric...

Jakob Hultgren, Umeå University: SYZ for hypersurfaces of toric Fano manifolds & optimal transport I

57:54

Jakob Hultgren, Umeå University: SYZ for hypersurfaces of toric Fano manifolds & optimal transport I

Просмотров 99 часов назад

Jakob Hultgren, Umeå University: SYZ for hypersurfaces of toric Fano manifolds and optimal transport I The original SYZ-conjecture in mirror symmetry asks for special Lagrangian torus fibrations in Calabi-Yau manifolds. I will focus on families of Calabi-Yau hypersurfaces in toric Fano manifolds. Recent work by Yang Li reduces a weak version of the SYZ-conjecture in this setting to the solvabil...

Bernd Siebert, University of Texas Austin: From toric degenerations to intrinsic mirror symmetry I

1:17:31

Bernd Siebert, University of Texas Austin: From toric degenerations to intrinsic mirror symmetry I

Просмотров 2512 часов назад

Bernd Siebert, University of Texas at Austin: From toric degenerations to intrinsic mirror symmetry I I will survey my joint program with Mark Gross providing an algebraic-geometric perspective on the SYZ dual torus fibrations in mirror symmetry: Our original synthetic approach constructed mirror dual degenerating families with central fibers unions of toric varieties via wall structures. More ...

Rodolfo Aguilar, University of Miami: Infinitesimal methods in mixed Hodge theory

57:14

Rodolfo Aguilar, University of Miami: Infinitesimal methods in mixed Hodge theory

Просмотров 1614 часов назад

Rodolfo Aguilar, University of Miami: Infinitesimal methods in mixed Hodge theory After recalling, giving examples and applications of infinitesimal variations of Hodge structures, we will define its mixed counterpart. Then we associate to it two invariants and describe them more explicitly in the case of pairs (X,Y) where X is a Fano 3-fold and Y an anticanonical surface. We will conclude with...

Kyungmin Rho, Paderborn University: Matrix factorizations from Fukaya categories of surfaces

1:02:40

Kyungmin Rho, Paderborn University: Matrix factorizations from Fukaya categories of surfaces

Просмотров 2414 часов назад

Kyungmin Rho, Paderborn University: Matrix factorizations from Fukaya categories of surfaces Burban-Drozd (2017) classified all indecomposable objects in the category of maximal Cohen-Macaulay (MCM) modules over the non-isolated surface singularity xyz=0, and hence, in the category of matrix factorizations of xyz. Under homological mirror symmetry (HMS), these categories are also equivalent to ...

Ludmil Katzarkov, UM: Theory of atoms, singularity theory & apps to birational geometry I & II

2:04:15

Ludmil Katzarkov, UM: Theory of atoms, singularity theory & apps to birational geometry I & II

Просмотров 3414 часов назад

Ludmil Katzarkov, University of Miami: Theory of atoms, singularity theory and applications to birational geometry I & II In these talks we will introduce new birational and G birational obstructions to rationality - the theory of atoms, Mendeleev tables, spectra.

Phillip Griffiths, National Academy of Sciences: Positivity in Hodge theory & algebraic geometry 2

59:38

Phillip Griffiths, National Academy of Sciences: Positivity in Hodge theory & algebraic geometry 2

Просмотров 37День назад

Positivity in Hodge Theory with Applications to Algebraic Geometry presented by Professor Phillip Griffiths Arts and Sciences Distinguished Scholar University of Miami Ungar Building, Room 528B Wednesday, November 13, 2024, 11:30am Thursday, November 14, 2024, 3:00pm Abstract: The Hodge-Riemann bilinear relations define metrics in the vector bundles associated to a family of polarized Hodge str...

Nero Budur, KU Leuven: The Local Structure of the Generic Theta Divisor

1:01:15

Nero Budur, KU Leuven: The Local Structure of the Generic Theta Divisor

Просмотров 27День назад

Nero Budur, KU Leuven: The Local Structure of the Generic Theta Divisor A principle governing deformation theory with cohomology constraints in characteristic zero, generalizing Deligne's well known deformation theory principle, was developed together with B. Wang in terms of differential graded Lie modules, and with M. Rubio in terms of L-infinity modules. This principle has been illustrated m...

Helge Ruddat, Univ. of Stavanger: Smoothing Toroidal Crossing Fano Varieties Using Log Structures

1:10:46

Helge Ruddat, Univ. of Stavanger: Smoothing Toroidal Crossing Fano Varieties Using Log Structures

Просмотров 14День назад

Helge Ruddat, University of Stavanger: Smoothing and resolving toroidal crossing Fano varieties using log structures obtained from zero-mutable Laurent polynomials In a series of joint works with Alessio Corti, we construct generically log smooth Fano varieties from reflexive polytopes. The log structures are obtained locally from a zero mutable Laurent polynomial and we conjecture that all log...

Cheol Hyun Cho, Seoul National University: Transpose polynomial from Lagrangian Floer theory

1:05:49

Cheol Hyun Cho, Seoul National University: Transpose polynomial from Lagrangian Floer theory

Просмотров 30День назад

Cheol Hyun Cho, Seoul National University: Transpose polynomial from Lagrangian Floer theory Given an invertible singularity of two variables, we explain how to obtain its Berglund-Hubsch transpose polynomial via Lagrangian Floer theory. We will focus on a relation between hypersurface restrictions in matrix factorizations or coherent sheaves and its symplectic geometric counterpart, which is o...

Phillip Griffiths, National Academy of Sciences: Positivity in Hodge theory & algebraic geometry 1

1:02:21

Phillip Griffiths, National Academy of Sciences: Positivity in Hodge theory & algebraic geometry 1

Просмотров 48День назад

Phillip Griffiths, National Academy of Sciences: Positivity in Hodge theory & algebraic geometry 1

Andras Némethi, Alfréd Rényi Institute of Mathematics - November 13, 2024

1:00:29

Andras Némethi, Alfréd Rényi Institute of Mathematics - November 13, 2024

Просмотров 29День назад

Andras Némethi, Alfréd Rényi Institute of Mathematics - November 13, 2024

Simon Felten, Columbia University: Global logarithmic deformation theory 2

1:11:09

Simon Felten, Columbia University: Global logarithmic deformation theory 2

Просмотров 18День назад

Simon Felten, Columbia University: Global logarithmic deformation theory 2

Rodolfo Aguilar, University of Miami: An introduction to variations of Hodge structures

51:43

Rodolfo Aguilar, University of Miami: An introduction to variations of Hodge structures

Просмотров 31День назад

Rodolfo Aguilar, University of Miami: An introduction to variations of Hodge structures

Atsuhi Takahashi, Osaka University: Part II, November 12, 2024

1:02:50

Atsuhi Takahashi, Osaka University: Part II, November 12, 2024

Просмотров 32День назад

Atsuhi Takahashi, Osaka University: Part II, November 12, 2024

Yuriy Drozd, Institute of Mathematics of the National Academy of Sciences of Ukraine.

1:10:30

Yuriy Drozd, Institute of Mathematics of the National Academy of Sciences of Ukraine.

Просмотров 38День назад

Yuriy Drozd, Institute of Mathematics of the National Academy of Sciences of Ukraine.

Simon Felten, Columbia University: Global logarithmic deformation theory 1

1:06:23

Simon Felten, Columbia University: Global logarithmic deformation theory 1

Просмотров 17День назад

Simon Felten, Columbia University: Global logarithmic deformation theory 1

Filip Matej, University of Ljubljana: Smoothing Gorenstein toric singularities and mirror symmetry

1:02:26

Filip Matej, University of Ljubljana: Smoothing Gorenstein toric singularities and mirror symmetry

Просмотров 24День назад

Filip Matej, University of Ljubljana: Smoothing Gorenstein toric singularities and mirror symmetry

Igor Burban, Universität Paderborn, Conference: Singularities and Geometric Structures

1:09:33

Igor Burban, Universität Paderborn, Conference: Singularities and Geometric Structures

Просмотров 5514 дней назад

Igor Burban, Universität Paderborn, Conference: Singularities and Geometric Structures

Agustin Romano, UNAM: Cohen Macaulay Modules and matrix factorizations on surface singularities 1

46:31

Agustin Romano, UNAM: Cohen Macaulay Modules and matrix factorizations on surface singularities 1

Просмотров 2414 дней назад

Agustin Romano, UNAM: Cohen Macaulay Modules and matrix factorizations on surface singularities 1

Cheol Hyun Cho, Seoul Natl University: Introductory lectures on singularities & mirror symmetry II

1:12:13

Cheol Hyun Cho, Seoul Natl University: Introductory lectures on singularities & mirror symmetry II

Просмотров 6314 дней назад

Cheol Hyun Cho, Seoul Natl University: Introductory lectures on singularities & mirror symmetry II

Atsushi Takahashi, Osaka University: Introductory lectures on singularities and mirror symmetry I

1:12:27

Atsushi Takahashi, Osaka University: Introductory lectures on singularities and mirror symmetry I

Просмотров 6514 дней назад

Atsushi Takahashi, Osaka University: Introductory lectures on singularities and mirror symmetry I

Guillermo Peñafort, University of Valencia: Cohomological connectivity of perturbations of map-germs

1:20:26

Guillermo Peñafort, University of Valencia: Cohomological connectivity of perturbations of map-germs

Просмотров 2014 дней назад

Guillermo Peñafort, University of Valencia: Cohomological connectivity of perturbations of map-germs

Andrzej Weber, University of Warsaw: Characteristic classes with boundary conditions

55:06

Andrzej Weber, University of Warsaw: Characteristic classes with boundary conditions

Просмотров 3914 дней назад

Andrzej Weber, University of Warsaw: Characteristic classes with boundary conditions

Richard Rimanyi, UNC: On a geometric problem in machine learning (with a singularity theory flavor)

58:03

Richard Rimanyi, UNC: On a geometric problem in machine learning (with a singularity theory flavor)

Просмотров 3614 дней назад

Richard Rimanyi, UNC: On a geometric problem in machine learning (with a singularity theory flavor)

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