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Barcelona Algebraic Topology Group

Seminars
 Friday's Topology Seminar 2018-19
 Speaker: Jesper Moller (University of Copenhagen)Title: Counting p-singular elements in finite groups of Lie typePlace: Room Seminar C3bDate: Friday January 25, 12h-13h Abstract: Let $G$ be a finite group and $p$ a prime number. We say that an element of $G$ is $p$-singular of its order is a power of $p$. Let $G_p$ be the {\em set\/} of $p$-singular elements in $G$, i.e. the union of the Sylow $p$-subgroups of $G$. In 1907, or even earlier, Frobenius proved that $|G|_p \mid |G_p|$: The number of $p$-singular elements in $G$ is divisible by the $p$-part of the order of $G$. The number of $p$-singular elements in a symmetric group is known. In this talk we discuss the number of $p$-singular elements in a finite (untwisted) group of Lie type in characteristic $p$.The situation in the cross-characteristic case will maybe also be considered. See the calendar for upcoming events. Read more...

 Friday's Topology Seminar 2017-2018
 Speaker: Nitu Kitchloo (Johns Hopkins University)Title: Stability for Kac-Moody GroupsPlace: C3b/158Date: 20th July at 12:00 Abstract: In the class of Kac-Moody groups, one can extend all the exceptional families of compact Lie groups yielding infinite families, as well as other infinite families. We will show that these exceptional families stabilize in a homotopical sense and that the (co)homology of their classifying spaces is torsion free for all but a finite set of primes that is determined by the family (and not the individual groups in the family). See the calendar for upcoming events. Read more...

 Friday's Topology Seminar 2016-2017
 Speaker: Ramón Flores (Universidad de Sevilla)Title: Espacios clasificadores de grupos de trenzas.Place: Seminari C1/366Date: 28th July at 10:00.Abstract: En esta charla mostraremos cómo se puede calcular la dimensión del espacio clasificador de los grupos de trenzas respecto de la familia de grupos virtualmente cíclicos. Las herramientas utilizadas incluyen el modelo de Lück-Weiermann de estos espacios, la clasificación de trenzas de Nielsen-Thurston, y resultados homológicos sobre los conmensuradores de los subgrupos cíclicos. See the calendar for upcoming events. Read more...

 Friday's Topology Seminar 2015-2016
 This semester we will read Benson-Greenlees paper "Stratifying the derived category of cochains on BG for G a compact Lie group". Our aim will be study the results and see if we can generalize them to the p-compact case. The tentative schedule is the following: 1) February 19th. W. Pitsch. Overview2) March 4th. L. Carlier. Tensor triangualted categories3) April 1st. T. Lozano. p-compact groups4) April 15th. W. Pitsch. Stratification I5) April 29th. W. Pitsch Stratification II6) May 6th. J. Kock Pointfree Topology on Spec R and support I7) May 13rd. J. Kock Pointfree Topology on Spec R and support II8) May 20th W. Pitsch Some results on D(R) for R a ring spectrum9) June 3rd N. Castellana Noetherianity in cohomology10) July 1st N. Castellana Chouinard's theorem for finite p-local groups and p-compact groups Date and place: Fridays 12h00-13h00, CRM Room A1. Read more...

 Friday's Topology Seminar 2014-2015