Online Summer School on Geometry and Topology
Faculty of Science of University of Hradec Králové (Czech Republic)
& Mathematical Center in Akademgorodok
(Novosibirsk, Russia)
July 7 - August 6, 2021
The 2021 school programme includes the following short series of lectures:
Introduction
to geometric numerical methods (Vladimir Salnikov, La
Rochelle)
Sheaf theory, localization and gluing (Zoran Škoda, Zadar
and UHK)
Geometry of coherent states (Zoran Škoda, Zadar
and UHK)
Contact
geometry and thermodynamics (Eivind Schneider, UHK)
Introduction
to Computational Topology (Yaroslav Bazaykin, Novosibirsk)
Homogeneous
geometric structures (Jan Gregorovič, UHK)
Elements
of representation theory (Alexei Kotov, UHK)
Holonomy groups
of pseudo-Riemannian manifolds (Anton Galaev, UHK)
A part of the programme will include The
Great Mathematical Workshop
The students will have an opportunity to
present short talks (not obligatory).
Timetable
(preliminary) All times are
shown in Prague time zone: GMT+2
7.7.
09:00 Opening
09:00—09:20 Pavel Trojovský, Faculty of
Science at UHK and International Student Mobilities
09:20—10:20 A. Kotov, Elements of representation
theory I Presentation
10:25—11:25 Ya. Bazaykin, Introduction to Computational Topology I Presentation Video
8.7. 09:00—10:00
Ya. Bazaykin, Introduction
to Computational Topology II Presentation Video
10:05—11:05 A. Kotov, Elements of representation theory II Presentation Video
9.7. 09:00—10:00 Ya.
Bazaykin, Introduction to Computational Topology III Presentation
Video
10:05—11:05 A. Kotov, Elements of representation theory III Presentation Video
12.—16.7.
The Great Mathematical
Workshop
15.7.
11:30—13:00 Zoran Škoda, Geometry of coherent
states I Video
16.7.
10:00—11:00 Zoran Škoda, Geometry of coherent
states II
11:15—12:15 Zoran Škoda, Sheaf theory, localization and gluing I Video
19.7. 09:00—10:00 A. Kotov,
Elements of representation theory IV Presentation Video
10:05—11:05 E. Schneider,
Contact geometry and thermodynamics I Presentation
20.7.
09:00—10:00 E. Schneider, Contact geometry and thermodynamics II Presentation
10:05—11:05 Z. Škoda, Sheaf theory, localization and gluing II Video
11:20—12:20 Z. Škoda, Sheaf theory, localization and gluing III Video
21.7. 09:00—10:00 E. Schneider, Contact
geometry and thermodynamics III Presentation
10:05—11:05 Z. Škoda, Sheaf theory, localization and gluing IV Video
22.7. 09:00—10:00 E. Schneider, Contact
geometry and thermodynamics IV Presentation
10:05—11:05 Z. Škoda, Sheaf theory, localization and gluing V
23.7. 09:00—10:00 E. Schneider, Contact
geometry and thermodynamics V Presentation
10:05—11:05 A. Kotov, Elements of representation theory V Presentation Video
26.7. Talks by Participants
9:00—9:20
Javier Vega (Autonomous University of Nuevo Leon), A bridge in between Poisson
Geometry and Noncommutative Geometry through quantization processes Abstract Presentation
Video
9:20—9:40 Olena Atlasiuk (Institute
of Mathematics of the National Academy of Sciences of Ukraine), On generic
boundary-value problems for dierential systems in Sobolev spaces Abstract
9:45—10:05 Maneh Avetisyan
(Yerevan Physics Institute), Universal dimensions of simple Lie algebras and
configurations of points and lines Text Presentation Video
10:05—10:25 José Luis Carmona Jiménez (Universidad Complutense
de Madrid), Fedosov Homogeneous Structures Abstract Video
27.7. 09:00—10:00
V. Salnikov, Introduction to geometric numerical
methods I SlidesI,II NotesI,II,III Video
10:05—11:05 J. Gregorovič, Homogeneous
geometric structures I Presentation Video
28.7. 09:00—10:00
A. Galaev, Holonomy groups of pseudo-Riemannian
manifolds I Presentation Video
10:05—11:05 V. Salnikov, Introduction to geometric numerical methods II SlidesI,II NotesI,II,III Video
29.7. 09:00—10:00
J. Gregorovič, Homogeneous
geometric structures II Presentation Video
10:05—11:05 A. Galaev, Holonomy groups of pseudo-Riemannian manifolds II Presentation Video
30.7. 09:00—10:00
V. Salnikov, Introduction to geometric numerical
methods III NotesI,II,III Video
2.8. 09:00—10:00
J. Gregorovič, Homogeneous
geometric structures III Presentation Video
10:05—11:05 A. Galaev, Holonomy groups of pseudo-Riemannian manifolds III Presentation Video
3.8. 09:00—10:00 J. Gregorovič, Homogeneous geometric
structures IV Presentation Video
4.8.
09:00—10:00 A. Galaev, Holonomy groups of pseudo-Riemannian manifolds IV Presentation Video
10:10—11:45 Z. Škoda, Sheaf theory, localization and
gluing VI
5.8.
09:00—10:00 J. Gregorovič, Homogeneous geometric
structures V Presentation Video
10:10—11:45 Z. Škoda, Sheaf theory, localization and
gluing VII
6.8. 09:00—10:00
A. Galaev, Holonomy groups of pseudo-Riemannian
manifolds V Presentation Video
