[Turkmath:6040] FGC-Higher Structures Seminars::Redi Haderi[Bilkent Univ.][March.28, 2023 at 17:00-Istanbul time]

[kazimilhan.ikeda]

Dear friends,

I am reminding tomorrows FGC-Higher Structures Seminar talk,
which is also Alexander Grothendieck's 95th birtday!

Let us salute Grothendieck!

The details of the talk are written below:


2023-03-23 18:13, kazimilhan.ikeda yazmış:
> Dear friends,
> 
> This week our speaker is Redi Haderi from Bilkent University.
> The details of his talk are as follows:
> 
> Speaker: Redi Haderi (Bilkent University)
> Date and time: March 28, 2023, Tuesday at 17:00 Istanbul local time
> 
> Title: A simplicial category for higher correspondences.
> Abstract:
> Correspondences between simplicial sets (and oo-categories) are
> a generalization of the notion of profunctor between categories.
> It is known that functors between categories are classified by lax
> diagram of profunctors. We will present this fact from the lens of
> double category theory.
> Then, we will show how simplicial sets, simplicial maps and
> correspondences are organized in a simplicial category (this is a
> weak simplicial object in categories). A simplicial category may
> be regarded as a 2-fold version of a simplicially enriched category,
> and hence some ideas from double category theory apply. In particular
> we formulate the fact that simplicial maps are classified by diagrams
> of correspondences. As a corollary, we obtain a formulation of Lurie's
> prediction that inner fibrations are classified by diagrams of
> correspondences between oo-categories.
> 
> Reference: https://arxiv.org/abs/2005.11597
> 
> 
> --- Zoom link details [will be active at 16:45 Istanbul local time]:
> Join Zoom Meeting
> https://ozyegin-edu-tr.zoom.us/j/96956596842?pwd=cDNHQy8vR0lkMk8velhGZDdzU1p1UT09
> 
> Meeting ID: 969 5659 6842
> Passcode: 442777
> 
> Best Regards,
> K. Ilhan Ikeda
> ________________________________________