From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/10720 Path: news.gmane.io!.POSTED.blaine.gmane.org!not-for-mail From: Ivan Di Liberti Newsgroups: gmane.science.mathematics.categories Subject: Reminder ItaCa Fest 2022 Date: Mon, 18 Apr 2022 09:29:43 +0200 Message-ID: Reply-To: Ivan Di Liberti Mime-Version: 1.0 (Mac OS X Mail 16.0 \(3696.80.82.1.1\)) Content-Type: text/plain; charset="utf-8" Content-Transfer-Encoding: quoted-printable Injection-Info: ciao.gmane.io; posting-host="blaine.gmane.org:116.202.254.214"; logging-data="2461"; mail-complaints-to="usenet@ciao.gmane.io" To: categories@mta.ca Original-X-From: majordomo@rr.mta.ca Wed Apr 20 17:21:26 2022 Return-path: Envelope-to: gsmc-categories@m.gmane-mx.org Original-Received: from smtp2.mta.ca ([198.164.44.40]) by ciao.gmane.io with esmtps (TLS1.2:ECDHE_RSA_AES_256_GCM_SHA384:256) (Exim 4.92) (envelope-from ) id 1nhC8z-0000OI-C9 for gsmc-categories@m.gmane-mx.org; Wed, 20 Apr 2022 17:21:25 +0200 Original-Received: from rr.mta.ca ([198.164.44.159]:57964) by smtp2.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1nhC6u-00037S-LS; Wed, 20 Apr 2022 12:19:16 -0300 Original-Received: from majordomo by rr.mta.ca with local (Exim 4.92.1) (envelope-from ) id 1nhC6a-0006Pp-MB for categories-list@rr.mta.ca; Wed, 20 Apr 2022 12:18:56 -0300 Precedence: bulk Xref: news.gmane.io gmane.science.mathematics.categories:10720 Archived-At: Dear all, this is a quick reminder that the ItaCa Fest will resume this week! As = in the previous editions, the Fest collects a wide range of topics and = represents a large number of communities. The first date of the ItaCa Fest will be April 20, 2022 at 3 pm (Italian = time): - A. Lorenzin, Inner automorphisms as 2-cells. - M. Karvonen, Formality and strongly unique enhancements. The zoom link is the following: = https://stockholmuniversity.zoom.us/j/68792232558 While the Fest website is this one: = https://progetto-itaca.github.io/pages/fest22.html A complete list of the speakers of this edition of the Fest: Coraglia, = Kock, Bonchi, Blechschmidt, Cigoli, Reggio, Escard=C3=B3, Capucci, Di = Vittorio, Raptis. Join us (and bring a friend)! Cheers, Beppe, Ivan, Edoardo, Fosco, Paolo. = =E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2= =80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80= =94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94= =E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2=80=94=E2= =80=94=E2=80=94=E2=80=94 Karvonen. Title: Inner automorphisms as 2-cells Abstract: Thinking of groups as one-object categories makes the category = of groups naturally into a 2-category. We observe that a similar = construction works for any category: a 2-cell f->g is given by an inner = automorphism of the codomain that takes f to g, where inner = automomorphisms are defined in general using isotropy groups. We will = explore the behavior of limits and colimits in the resulting 2-category: = when the underlying category is cocomplete, the resulting 2-category has = coequalizers iff the isotropy functor is representable - in the case of = groups, this amounts to deducing the existence of HNN-extensions from = the representability of id:Grp->Grp. Under reasonable conditions, limits = and connected colimits in the underlying category are 2-categorical = limits/colimits in the resulting 2-category. However, many other = 2-dimensional limits and colimits fail to exist, unless the underlying = category has only trivial inner automorphisms. Lorenzin. Title: Formality and strongly unique enhancements Abstract: Inspired by the intrinsic formality of graded algebras, we = give a characterization of strongly unique DG-enhancements for a large = class of algebraic triangulated categories, linear over a commutative = ring. We will discuss applications to bounded derived categories and = bounded homotopy categories of complexes. For the sake of an example, = the bounded derived category of finitely generated abelian groups has a = strongly unique enhancement. [For admin and other information see: http://www.mta.ca/~cat-dist/ ]