AfMS aims at a weekly seminar for the whole of Africa, alternating through the different countries while giving different regions their chance to host the seminar.
The main goal of AfMS is building mathematical networks across Africa and showcasing African mathematical talent. In practice, this means speakers will mostly hail from Africa, or have a strong relationship with African mathematics. But not necessarily always. The organizing team will include distinguished speakers every now and then for networking and research exchange with the rest of the world.
The African Mathematics Seminar will takes place online via ZOOM in English
To participate and automatically join our mailing list, please register we send you a seminar link:
Please feel free to contact one of our seminars organizers directly for more information.
TITLE: The Grothendieck class of the moduli space of pointed stable curves of genus 0
SPEAKER: Paolo Aluffi, Florida State University, USA
TIME: 4:00PM Nairobi
DATE: September 17, 2025
The variety $\overline\mathcal M_{0,n}$ parametrizes stable genus 0 curves with n marked points. This is a central object in algebraic geometry, as the most studied and best understood moduli space of curves. Explicit constructions of this variety have been known for several decades, and recursion formulas for its Poincaré polynomial were obtained more than 30 years ago, but (to our knowledge) a more explicit expression for its Betti numbers was not available. We obtain just such an expression, in the form of an explicit generating function for the class of $\overline\mathcal M_{0,n}$ in the Grothendieck group of varieties, and gather more information about related generating functions. As an application, we prove an asymptotic form of log concavity for the Poincaré polynomial of $\overline\mathcal M_{0,n}$..
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The fifth international conference on E-Assessment in Mathematical Sciences (EAMS) takes place between 13th and 24th June 2022, online only. Register for free at eams.ncl.ac.uk/register. There will be 2 hours of talks each weekday (9-10am and 4-5pm) GMT+1, with recordings to be made available later. The programme is available to view online at eams.ncl.ac.uk/programme.