BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Kadri Ilker Berktav (Middle East Technical University) DTSTART:20200930T150000Z DTEND:20200930T163000Z DTSTAMP:20260422T172218Z UID:UCGEN/8 DESCRIPTION:Title: Hi gher Structures in Physics\nby Kadri Ilker Berktav (Middle East Techni cal University) as part of UCGEN - Uluslararası Cebirsel GEometri Neşesi \n\n\nAbstract\nThis is an overview of higher structures in physics. In th is talk\, we intend to outline the basics of derived algebraic geometry an d its essential role in encoding the formal geometric aspects of moduli sp aces of solutions to certain differential equations. Throughout the talk\, we always study objects with higher structures in a functorial perspectiv e\, and we shall focus on algebraic local models for those structures. To be more precise\, we shall be interested in derived geometric construction s and higher spaces for certain moduli problems associated with classical field theories and their defining equations\, the so-called Euler-Lagrange equations. \nTo this end\, the talk is organized into two main parts: In the first part of the talk\, we shall revisit the naïve and algebro-geome tric definition of a classical field theory together with some examples\, and then we will establish the connection between classical field theories and moduli problems. In the second part of the talk\, we first recall the basic aspects of moduli theory in a categorical perspective and explain h ow higher-categorical notions like stacks come into play to overcome certa in technical problems naturally arising in many moduli problems. In the sp irit of these discussions\, we shall also give some examples from gauge th eory and Einstein gravity.\n LOCATION:https://researchseminars.org/talk/UCGEN/8/ END:VEVENT END:VCALENDAR