SYCO 9 in Como

Next week, on the 8th and 9th of September, the Ninth Symposium on Compositional Structures (SYCO 9) is taking place in Como.

I have been invited to give a talk on this occasion. The title of my presentation is Relative toposes as a generalization of locales. The abstract is as follows:

The aim of this talk is to present a way for representing relative toposes which naturally generalizes the construction of the topos of sheaves on a locale, and which is particularly effective for describing the morphisms between relative toposes in a concrete way. Our theoretical framework is based on the language of stacks and fibred sites, and provides, amongst other things, a unified setting for investigating the relationships between Grothendieck toposes as built from sites and elementary toposes as built from triposes.

Looking forward to seeing many of you in Como!

Trip to Sweden

Tomorrow I will leave for Sweden for scientific visits to Götheborg and Stockholm.

I will be in Götheborg for participating in the

Workshop in Honour of Thierry Coquand’s 60th Birthday

My talk, entitled “Relative toposes as a generalization of locales“, will be on Thursday 25th at 10:15.

Then I shall leave for Stockholm, where I will give a colloquium lecture for the Stockholm Mathematics Centre (KTH and Stockholm University) on Wednesday 31st at 15:15.

Thanks again to the organisers of these events for their invitations, and looking forward to this trip!

Domoschool 2022

Next week I will be in Domodossola giving a research course on topos theory for the 2022 edition of the International Alpine School of Mathematics and Physics.

The title of my course is Grothendieck toposes, invariants and ‘bridges’. The course will be an introduction to the theory of Grothendieck toposes, with a specific emphasis on the invariants that one can define on them. The point of view that we shall take is the one provided by the theory of toposes as ‘bridges’, which we shall present and illustrate through a selection of notable examples. We shall also discuss the application of these techniques to the investigation and discovery of dualities, equivalences and correspondences in mathematics and beyond.

Grothendieck conference

From tomorrow, Tuesday the 24th of May, until Saturday the 28th of May, there will be, physically at Chapman University and virtually on Zoom, a conference celebrating Grothendieck’s work.

The programme, which is available from the conference website, is very rich and consists of several contributions highlighting the relevance of Grothendieck’s ideas across many different fields of knowledge.

I will give my own talk, entitled “On the ‘unifying notion’ of topos“, on Friday 27th at 10 am PST (7pm CEST).

The Zoom link to the conference is  
https://chapman.zoom.us/j/96839483231?from=addon
Meeting ID: 968 3948 3231

Looking forward to seeing many of you attending the conference!

Unifying Themes in Geometry

We are glad to announce the following event:

For more information and the link to registration, please visit the event website.
We look forward to seeing many of you there!

Welcome to “Toposes online”!

The school and conference “Toposes online” is about to start!

Thanks again to all our speakers for accepting our invitation or sending us a talk proposal. This has made it possible for us to set up a very rich and varied programme.

We are very happy to have attracted so many people (533 registered participants) to this event, coming from different areas of mathematics, physics, computer science, philosophy and engineering, and also from industry. This illustrates the wide-ranging impact of toposes, and the increasing interest in the subject, across different fields of knowledge.

We hope that this event will further stimulate interdisciplinary research inspired by topos-theoretic ideas, and its applications in different fields. The participants in the conference, as well as any other person interested in toposes, are warmly encouraged to join our community and exchange with each other through the Forum.

Many thanks to IHES and the University of Insubria for their support in organizing this event; the videos of all the talks and course lectures of “Toposes online” will be made available on the YouTube channel of IHES.

We look forward to seeing many of you online and on the forum!

Toposes online

We are pleased to announce the third (online) edition of the main international conference on topos theory, following the previous ones “Topos à l’IHES” and “Toposes in Como” :

For further information and registration, please visit the event website. We look forward to seeing many of you there!