Research-Oriented Seminar In COmbinatorics (ROSICO)

This is a reading seminar for PhD students and researchers. The topic changes every year/semester. It includes free coffee breaks.

If you are interested in participating, please send an email to cult-owner@lists.dm.unipi.it, bring your coffee cup/mug/water bottle, and be ready to give a talk!

The topic of this year is “Toric varieties”. We will be using the following references:

[Telen] Telen, “Introduction to toric geometry”, pdf

[Pegel] Pegel, “Chow Rings of Toric Varieties”, pdf

[Procesi], “The toric variety associated to Weyl chambers”, pdf

DATETIMEROOMSPEAKERTITLEREFERENCES
11/10/202311:00-13:00Aula seminariLorenzo VenturelloIntroduction to affine toric varieties[Telen] Section 2
02/11/202313:30-15:00Aula riunioniLorenzo VenturelloAffine toric varieties from monomial maps[Telen] Section 2.3
08/11/202311:00-13:00Aula seminariRoberto RiccardiAffine toric varieties from binomial prime ideals[Telen] Section 2.4
22/11/202311:00-13:00Aula seminariLuca MorstabiliniAffine toric varieties from affine semigroups[Telen] Section 2.5
06/12/202311:00-13:00Aula seminariGiovanni InterdonatoAffine toric varieties from cones[Telen] Sections 2.6, 2.7 and 2.9
14/03/202414:00-16:00Saletta riunioniLeonardo PatimoProjective toric varieties[Telen] Section 3
20/03/202411:00-13:00Aula riunioniLuca MorstabiliniAbstract toric varieties[Pegel] Section 1.7
[Telen] Sections 4.1, 4.2
17/04/202411:00-13:00Aula riunioniVassilis MoustakasCombinatorial Chow ring of simplicial fans[Pegel] Sections 2.1, 2.2
24/04/202411:00-13:00Aula riunioniAlessandro IraciChow ring of permutahedral varieties[Procesi]
08/05/202411:00-13:00Aula riunioniLorenzo Venturello
22/05/202411:00-13:00Aula riunioniAlessio Sgubin

The topic of this year is “Macdonald polynomials and ASEP”. We will be mainly reading literature related to the following important article:

[CMW] Corteel, Mandelshtam, Williams “From multiline queues to Macdonald polynomials via the exclusion process”, Amer. J. Math. 144 (2022), no. 2

DateTimeRoomSpeakerTitle References
11/10/202211:00-13:00Aula seminariAlessandra CaraceniIntroduction to ASEPNone
04/11/202211:00-13:00Aula seminariAlessandra CaraceniBethe ansatz for ASEPNone
15/11/202211:00-13:00Aula seminariMichele D’AdderioIntroduction to Macdonald polynomialsNone
29/11/202211:00-13:00Aula seminariAlessandro IraciASEP and multiline queues.[CMW] Section 1
13/12/202211:00-13:00Aula seminariViola SiconolfiqKZ and Hecke algebras[CMW] Section 2
15/03/202314:00-16:00Aula seminariSabino Di TraniMore on Hecke algebras[CMW] Section 2
14/04/202311:00-13:00Aula seminariAllDiscussion of open problemsNone
10/05/202314:00-16:00Aula seminariHoucine Ben DaliJack polynomials and the b-conjectureNone