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There will be an Oberwolfach seminar on: "Cellular E_k-algebras" from 31 May - 6 Jun 2020 The lectures will be given by the organizers. This seminar is an introduction to the homotopy theory of E_k-algebras in spaces and chain complexes, aimed towards applications to the homology of moduli spaces. We will cover foundational topics including cellular E_k-algebras, derived E_k-indecomposables (i.e. topological Quillen homology), the Hurewicz theorem in this context, the relationship between derived E_k-indecomposables and iterated bar constructions, the description of the homology of free E_k-algebras, and several spectral sequences associated to cellular E_k-algebras. These techniques will then be applied to examples given by various moduli spaces, where the phenomenon of homological stability can be easily understood from the perspective of E_kcells. The highlight of this seminar will be the recently discovered “secondary homological stability” for mapping class groups of surfaces. In addition to the homotopy-theoretic techniques for working with cellular E_k-algebras this requires detailed input specific to mapping class groups, which we shall survey. The application deadline is 22 March 2020, and for more application on how to apply, see https://www.mfo.de/document/2023a/Poster-2023a.pdf <https://urldefense.proofpoint.com/v2/url?u=https-3A__www.mfo.de_document_2023a_Poster-2D2023a.pdf&d=DwMFaQ&c=WO-RGvefibhHBZq3fL85hQ&r=6hC3Osk4GmhPp4qPOI5P78nSJwVKxyNJOVhNbpCF4JA&m=6MAX0UeBI0AuViI3HDBh4C7ClcgFTMYH6eyMkKnhsBY&s=kJcl4GnQ0tINGPvOurNe8lIQjhcyFa9lERXQnrSj01E&e=> . Best, Søren Galatius, Alexander Kupers, and Oscar Randal-Williams. =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=- This message was sent to you via the Geometry List, which announces conferences in geometry and closely related areas to over 1600 mathematicians worldwide. At http://listserv.utk.edu/archives/geometry.html there are many functions available, including checking the archives since November 2005, changing your e-mail address or preferences, and joining/leaving the list. If you have problems that cannot be resolved at this website, send a message to [log in to unmask] Before sending an announcement, please carefully read the following. Any announcements that are *not* about conferences (e.g. those about jobs, journals, books, etc.) will be rejected by the moderator without comment. To announce a geometry or closely related conference, send the announcement (including a conference web site if possible) to [log in to unmask] The moderator cannot edit your message; list members will receive the announcement as an e-mail from you EXACTLY as you submitted it. For example, if your submission starts with "Please post this on the geometry list" then your conference announcement will also begin with that statement. In order to keep down the volume of e-mail, only TWO announcements per conference will be approved by the moderator. The "subject" of your message should include the name of the conference and the number (first or second) of the announcement, e.g. Gauss Memorial Lectures in Geometry: Second Announcement. Please check that your announcement (especially the website) is correct. Corrections will be approved only in the most critical situations, e.g. if corrected information is not available on the website. After submitting an announcement you may receive a message asking you to confirm your submission. This feature is designed to thwart the hundreds of machine-generated spam that are sent to the list and would otherwise have to be manually blocked by the moderator. If you do not see your announcement within 48 hours, please check the archives to see whether it was actually posted (i.e. you somehow missed seeing the post or are not subscribed with your current email address). If the announcement is not in the archive, search for a confirmation message that you may have missed (from listserv.utk.edu). If none of this solves the mystery, send a message to [log in to unmask] The Geometry List is sponsored and maintained by the Mathematics Department, The University of Tennessee, Knoxville.