Dear colleagues,
We are organizing a weekend workshop on quantitative geometry &
topology at the Ohio State University on April 27--28. The speakers
are
Greg Chambers (Rice)
Larry Guth (MIT)
Shelly Harvey (Rice)
Yevgeny Liokumovich (MIT/IAS)
Eric Sedgwick (DePaul)
Robert Young (Courant)
We have some funding available for graduate students and early career
researchers, and we hope to provide enough informal time for
participants to meet each other and trade problems and ideas. Please
fill out the registration form **by March 15** to request funding. To
register, as well as for more information, please visit the website:
https://people.math.osu.edu/manin.4/qgt-workshop.html
Fedya Manin
Hannah Alpert
P.S. What is this about?
Quantitative geometry and topology refines the qualitative, discrete
questions of algebraic and geometric topology into continuous ones.
For example, we may see a loop in a space which is homotopically
trivial and ask how difficult it is to trivialize. Depending on what
we mean by "difficult", we might obtain different notions of
isoperimetry; one common choice is the area of a filling disk, which
leads to the definition of the Dehn function of a group.
A priori, such notions usually depend on the choice of a metric on the
space; one can then analyze their dependence on the metric
(quantitative geometry) or show results, for example asymptotic ones,
which are independent of the choice (quantitative topology).
From a more global perspective, one can see this as the study of
geometric functionals on spaces of geometric objects: the Lipschitz
constant as a functional on the space of maps between two spaces;
mass, for cycles in a space; Riemannian volume, for manifolds.
This circle of questions has ties to geometric group theory, minimal
surface theory, and the theory of computation among other areas.
Specific topics which can be viewed through this lens include
isoperimetric functions, systolic geometry, high-dimensional
expanders, and configuration spaces of hard disks.
=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
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.
|