BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:SSAC DTSTART:20210623T140000Z DTEND:20210623T150000Z DTSTAMP:20260423T004910Z UID:TRAC/24 DESCRIPTION:Title: Su mmer School of Algebraic Combinatorics\nby SSAC as part of The TRAC Se minar - Théorie de Représentations et ses Applications et Connections\n\ n\nAbstract\nOrganizers/ Organisatrices:\n\nVéronique Bazier-Matte\, Souh eila Hassoun et Nancy Wallace\n\nCourses and lecturers - Cours et professe ures \n\nCluster Categories and Related Topics by Pr. Gordana Todorov\n\nI ntroduction to Cluster Algebras and Combinatorics of Friezes by Pr. Khryst yna Serhiyenko\n\nSchubert calculus and symmetric functions by Pr. Maria G illespie\n\nTamari Lattices and Posets by Pr. Emily Barnard\n\nThe aim of this school is to advance the participants knowledge and enthusiasm toward s algebraic combinatorics. Through high-level presentations\, the students will learn multiple combinatorial aspects linked to representation theory . Every day\, a postdoctoral researcher will introduce a research topic ti ed to the introductory classes.\nSchubert calculus\, symmetric functions\, cluster algebra\, Tamari lattices\, frieze combinatorics and cluster cate gories are not only ways to study representation theory\, but have many li nks between them. On one hand\, cluster algebras\, introduced by Sergey Fo min and Andrei Zelevinsky\, can be studied using the combinatorics of frie zes\, on the other hand\, they can be studied algebraically using cluster categories. Moreover\, they have a correspondence with double Bruhat cells . In the case of Flag varieties and grassmanians\, the decomposition into Bruhat cells gives way to decomposition into Schubert cells. These can be obtained using Schubert calculus. Schubbert polynomials are a generalizati on of Schur functions\, which are symmetric functions. Using sub-word comp lexes\, Schubert varieties are tied to the study of Tamari Lattices. These lattices correspond to exchange graphs of some cluster algebra.\nFinally\ , our goal is to promote the visibility and accomplishment of women in mat hematics. Even though the school is open to people of all genders\, only w omen were invited to give lectures and talks. It seems important to us to give the occasion to students to interact accomplished women in mathematic s\, since they are underrepresented among teachers in mathematics in unive rsities.\n LOCATION:https://researchseminars.org/talk/TRAC/24/ END:VEVENT END:VCALENDAR