[Turkmath:6620] FGC-Higher Structures Seminars::Doğancan Karabaş [01 Ekim, 2024 at 15:00]

[kazimilhan.ikeda]

Sayın matematikçiler,

2024-25 Akademik yılı 01 Ekim, 2024 Salı günü saat sabah 15:00'da Feza 
Gürsey Fizik ve Matematik UygAr Merkezi Yüksek Yapılar Seminerleri 
kapsamında tertiplenen konuşmanın detaylarını bulacaksınız

Saygılarımla,
ilhan ikeda

---------------------

Dear friends,

On October 01 2024, Tuesday at 15:00 Istanbul local time (21:00 Tokyo 
local time), Doğancan Karabaş from the Kavli Institute for the Physics 
and Mathematics of the Universe-University of Tokyo will be the first 
speaker of the Academic Year 2024-25 of Feza Gursey Center for Physics 
and Mathematics Higher Structure Research Group Seminars.

The details of Doğancan's seminar talk are as follows:

Speaker: Doğancan Karabaş (IPMU-University of Tokyo)

Date: October 01, 2024, Tuesday

Time: 15:00 Istanbul local time / 21:00 Tokyo local time

Title: A computational approach to the homotopy theory of dg-categories 
[1]

Abstract:
The homotopy theory of differential graded (dg) categories plays a 
significant role in various fields, including algebraic geometry, 
representation theory, higher categories, and symplectic geometry. In 
particular, understanding dg-categories is crucial for formulating and 
interpreting homological mirror symmetry.

In this talk, I will present our approach to the homotopy theory of 
dg-categories by establishing a cofibration structure, which can be 
viewed as a half-model structure. This structure enables a combinatorial 
description of derived constructions and offers computational 
advantages. This is joint work with Sangjin Lee (arXiv:2109.03411 and 
arXiv:2405.03258). Some key applications of our approach, particularly 
in symplectic and contact geometry, include:

  	* Combinatorial description of homotopy colimits of dg categories, 
which gives a local-to-global formula computing wrapped Fukaya 
categories of symplectic manifolds,
  	* Local-to-global construction of functors between wrapped Fukaya 
categories that are induced by symplectomorphisms,
  	* A simple description of internal Hom and Hochschild cohomology of 
dg-categories. This ongoing work aims to provide useful tools for 
addressing the Weinstein conjecture, which concerns the existence of 
periodic orbits of Reeb vector fields.

I plan to cover as much of this content as time permits, and according 
to the audience's interest.
Zoom uygulaması Bilim Akademisi tarafından sağlanmaktadır./Zoom link is 
provided by The Science Academy.

Zoom link details:
(As usual the Zoom link will be active 30 minutes before the seminar 
time; that is at 14:30 Istanbul time/20:30 Tokyo time.)

Topic: FGC-Higher Structures Seminars

Date and Time: Oct 01, 2024 at 14:30 Istanbul/20:30 Tokyo local time

Join Zoom Meeting
https://us02web.zoom.us/j/89924194364?pwd=U7DWpcFgBMWljUQ20S0yM2wSDGhHg5.1

Meeting ID: 899 2419 4364
Passcode: 144904

Best Regards,
Ilhan

Organized by Feza Gürsey Center for Physics and Mathematics
Supported by Bilim Akademisi - The Science Academy



Links:
------
[1] http://www.turkmath.org/beta/seminer.php?id_seminer=3762
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