Skip to the Main Content

Note:These pages make extensive use of the latest XHTML and CSS Standards. They ought to look great in any standards-compliant modern browser. Unfortunately, they will probably look horrible in older browsers, like Netscape 4.x and IE 4.x. Moreover, many posts use MathML, which is, currently only supported in Mozilla. My best suggestion (and you will thank me when surfing an ever-increasing number of sites on the web which have been crafted to use the new standards) is to upgrade to the latest version of your browser. If that's not possible, consider moving to the Standards-compliant and open-source Mozilla browser.

February 21, 2012

In Göttingen

Posted by Urs Schreiber

Currently the higher order structures group in Göttingen is running their reading seminar on our article L-infinity connections with Hisham Sati and Jim Stasheff. This week I am visiting Göttingen, by kind invitation by Chenchang Zhu, in order to answer questions and to speak about related structures.

Today we had a long session working our way towards the basics of synthetic differential infinity-groupoids, a context where L L_\infty-algebras exist alongside genuine smooth \infty-groupoids as those who have first order infinitesimal spaces of kk-morphisms for all kk.

Tomorrow I’ll try to explain how using this we construct, with Domenico Fiorenza, the smooth moduli 2-stack of string 2-connections and the smooth moduli 6-stack of fivebrane 6-connections by exponentiating those big double square diagrams of L L_\infty-algebras discussed in the article.

Today I learned from the participants that interest in the nonabelian 2-form on the 5-brane has been a motivation to pick this reading seminar topic, so I will close with a remark on the basic idea in our recent article on that application of the machinery.

Meanwhile, I am glad to have had a chance to chat with Chris Rogers about our project of studying the higher Atiyah/Courant algebroids of circle nn-bundles for all nn.

So it’s busy enough. Just thought I’d drop a note on what I am up to this week.

Posted at February 21, 2012 8:50 PM UTC

TrackBack URL for this Entry:

0 Comments & 0 Trackbacks

Post a New Comment