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SUMMARY:Sean Griffin (ICERM and UCSD)
DTSTART:20210302T190000Z
DTEND:20210302T200000Z
DTSTAMP:20260423T024746Z
UID:AG-Davis/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AG-Davis/23/
 ">The Delta conjecture and Springer fibers</a>\nby Sean Griffin (ICERM and
  UCSD) as part of UC Davis algebraic geometry seminar\n\n\nAbstract\nThe D
 elta Conjecture\, which was very recently proven by D'Adderio--Mellit and 
 Blasiak et al.\, gives a combinatorial formula for the result of applying 
 a certain Macdonald eigenoperator to an elementary symmetric function. Paw
 lowski and Rhoades gave a geometric meaning to the t=0 case of this symmet
 ric function when they introduced the space of spanning line arrangements.
  In this talk\, I will introduce a new family of varieties\, similar to th
 e type A Springer fibers\, that also give geometric meaning to the t=0 cas
 e of the Delta Conjecture. Furthermore\, we will see how these new varieti
 es lead to an LLT-type formula\, and to a generalization of the Springer c
 orrespondence to the setting of induced Specht modules. If time permits\, 
 I will show how infinite unions of these varieties are related to the sche
 me of diagonal "rank deficient" matrices.\n
LOCATION:https://researchseminars.org/talk/AG-Davis/23/
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