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SUMMARY:Combinatorics of Coxeter groups and Affine Deligne Lusztig varieti
 es - Petra Schwer (Karlsruhe Institute of Technology (KIT))
DTSTART:20170112T090000Z
DTEND:20170112T100000Z
UID:TALK69889@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>         Co-authors: Liz Milicevic 		(Haverford College)
 \, Anne Thomas 		(University of Sydney)        <br></span><span>&nbsp\; &n
 bsp\; &nbsp\; &nbsp\; <br>We present combinatorial properties of Coxeter g
 roups and buildings and  explain how they can be used to study nonemptines
 s and dimensions of  affine Deligne Lusztig varieties (ADLVs). These varie
 ties are  sub-varieties of the affine flag variety of an algebraic group. 
 And  their nonemptinedd can be stated in terms of galleries and their  ret
 racted images in the associated Bruhat-Tits building. In addition we  will
  talk about the problem of exact computation of reflection length in  affi
 ne Coxeter groups. Here reflection length means the minimal number  of ele
 ments needed to write a given element as a product of reflections.  For a 
 particular class of elements the reflection length can be  determined from
  the dimension of an ADLV. &nbsp\;</span>
LOCATION:Seminar Room 1\, Newton Institute
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