Theory of Atoms
Educational workshop
Start date: 16.12.2024
End date: 19.12.2024
Event location: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
In the period December 16 – 19, 2024, the International Center for Mathematical Sciences – Sofia at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, is organizing an educational workshop on Theory of Atoms.
The goal of this workshop is to explain the foundations of the new theory of atoms, introduced recently by L. Katzarkov, M. Kontsevich, T. Pantev and T. Yu. We will discuss recent advances in this field, applications and future directions. We will also explore its relations to: Theory of symbols, Topological Modular forms, Symplectic geometry.
The workshop is part of the project “Categorical Kaehler Geometry and Applications” with PI: Ludmil Katzarkov, funded by the National Science Fund of Bulgaria, National Scientific Program “VIHREN”, Project № KP-06-DV-7.
The event is jointly organized by the Institute for the Mathematical Sciences of the Americas (IMSA) at the University of Miami, and the International Centre for Mathematical Sciences (ICMS-Sofia) at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences. The event is supported by Simons Foundation and Scientific Programme “Enhancing the Research Capacity in Mathematical Sciences (PIKOM)”.
Organizers:
- Leonardo Francisco Cavenaghi, University of Campinas – UNICAMP, Brazil;
- Ludmil Katzarkov, Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences, and University of Miami, USA;
- Maxim Kontsevich, Institute Des Hautes Études Scientifiques – IHES, Paris, and University of Miami, USA;
- Ernesto Lupercio, Cinvestav-IPN, México;
- Tony Pantev, University of Pennsylvania, USA;
Speakers:
- Alexander Schmitt, Freie Universität Berlin
- Andras Szenes, Université de Genève
- Balazs Szendroi, University of Vienna
- Bernardo Uribe, Universidad del Norte Barranquilla, Colombia
- Enrique Becerra, University of Miami
- Erik Paemurru, Saarland University
- Ernesto Lupercio, Cinvestav-IPN, México
- Felipe Espreafico Guelerman, Sorbonne Université
- Filip Zivanovic, Simons Center for Geometry and Physics
- Hugo Cattarucci Botós, Institute of Mathematics and Statistics of the University of São Paulo
- Kyoung-Seog Lee, Pohang University of Science and Technology POSTECH
- Leonardo Francisco Cavenaghi, University of Campinas – UNICAMP, Brazil
- Lino Grama, University of Campinas – UNICAMP, Brazil
- Maxim Kontsevich, Institute Des Hautes Études Scientifiques – IHES, Paris, and University of Miami
- Mohammed Abouzaid, Stanford University
- Nero Budur, KU Leuven
- Paul Horja, University of Miami
- Pranav Pandit, International Centre for Theoretical Sciences, Tata Institute of Fundamental Research
- Rodolfo Aguilar Aguilar, University of Miami
- Semon Rezchikov, Princeton University
- Szilard Szabo, Eötvös Loránd University and Alfréd Rényi Institute of Mathematics, Budapest
- Tony Pantev, University of Pennsylvania
- Victor Przyjalkowski, Steklov Mathematical Institute of the Russian Academy of Sciences and HSE University
In addition, there will be other research talks.
Live Stream
Programme
December 16, 2024 (Monday)
9:30 – 10:00 Registration
10:00 – 10:15 Openning
10:15 – 11:15 Maxim Kontsevitch, Atoms meet symbols
11:30 – 12:30 Leonardo Cavenaghi, The World Pre-atoms
Lunch break
14:30 – 15:30 Lino Grama, Spherical T-duality and generalized log-transform on homotopy Hopf manifolds
15:30 – 16:30 Victor Przyjalkowski, Exceptional collections and singular fibers of Landau–Ginzburg models
Coffee break
17:00 – 18:00 Szilard Szabo, Spectra of surfaces and their blow-ups
18:00 – 19:00 Pranav Pandit, Towards Categorical Kähler Geometry
December 17, 2024 (Tuesday)
Wellcome Coffee
10:00 – 11:00 Tony Pantev, Intersections of quadrics and nc Hodge structures
11:30 – 12:30 Leonardo Cavenaghi, New look at Milnor spheres
Lunch break
14:30 – 15:30 Andras Szenes, A remark on the Decomposition Theorem
15:30 – 16:30 Filip Zivanovic, Filtration on cohomology from
Floer theory of a holomorphic C*-action
Coffee break
17:00 – 18:00 Nero Budur, Contact loci of arcs
18:00 – 19:00 Paul Horja, Asymptotics and categories
December 18, 2024 (Wednesday)
Wellcome Coffee
10:00 – 11:00 Bernardo Uribe, Bogomolov multiplier for finite groups and equivariant unitary bordism
11:30 – 12:30 Balazs Szendroi, The projective coinvariant algebra and Segre embeddings
12:30 – 13:30 Enrique Becerra, The higher Brauer groups and the Ekedahl invariants
Lunch break
14:30 – 15:30 Mohammed Abouzaid, Contact manifolds and isolated singularities
15:30 – 16:30 Felipe Espreafico Guelerman, On M.otivic and Arithmetic DT invariants for $\mathbb A^3$
Coffee break
17:00 – 18:00 Hugo Cattarucci Botós, Complex hyperbolic disc orbibundles over $2$-spheres with cone points
18:00 – 19:00 Semon Rezchikov, Enumerative Consequences of Cyclotomic Symmetry in Symplectic Cohomology
December 19, 2024 (Thursday)
Wellcome Coffee
10:00 – 11:00 Ernesto Lupercio, TBA
11:30 – 12:30 Kyoung-Seog Lee, Hodge polynomials for non-algebraic complex manifolds
Lunch break
14:00 – 15:00 Erik Paemurru, Birational rigidity of Fano 3-folds with compound $A_k$ singularities
15:00 – 16:00 Rodolfo Aguilar Aguilar, Calabi-Yau vs log Calabi-Yau threefolds
16:00 – 17:00 Alexander Schmitt, General coherent systems
Party of the Institute of Mathematics and Informatics
Venue

Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Also via Zoom:
https://tinyurl.com/theoryofatoms
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