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Title of Journal: Sel math New ser

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Abbravation: Selecta Mathematica

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SP Birkhäuser Verlag Basel

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DOI

10.1016/0967-0661(95)90282-1

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1420-9020

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Weights of mixed tilting sheaves and geometric Rin

Authors: Zhiwei Yun
Publish Date: 2009/01/16
Volume: 14, Issue: 2, Pages: 299-320
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Abstract

We describe several general methods for calculating weights of mixed tilting sheaves We introduce a notion called “noncancellation property” which implies a strong uniqueness of mixed tilting sheaves and enables one to calculate their weights effectively When we have a certain Radon transform we prove a geometric analogue of Ringel duality which sends tilting objects to projective objects We apply these methods to partial flag varieties and affine partial flag varieties and show that the weight polynomials of mixed tilting sheaves on flag and affine flag varieties are essentially given by KazhdanLusztig polynomials This verifies a mixed geometric analogue of a conjecture by W Soergel in 10

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Other Papers In This Journal:
  1. Geometric Satake, Springer correspondence and small representations
  2. Epipelagic representations and rigid local systems
  3. Algebras of twisted chiral differential operators and affine localization of $${\mathfrak {g}}$$ -modules
  4. Spherical Lagrangians via ball packings and symplectic cutting
  5. A combinatorial formula for affine Hall–Littlewood functions via a weighted Brion theorem
  6. The non-equivariant coherent-constructible correspondence and a conjecture of King
  7. The minimal model for the Batalin–Vilkovisky operad
  8. Trigonometric Cherednik algebra at critical level and quantum many-body problems
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