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SUMMARY:The inductive McKay—Navarro conditions for the prime 2 and some 
 groups of Lie type. - Mandi Schaeffer Fry (Metropolitan State University o
 f Denver)
DTSTART:20220510T123000Z
DTEND:20220510T132000Z
UID:TALK172790@talks.cam.ac.uk
DESCRIPTION:For a prime p\, the McKay conjecture suggests a bijection betw
 een the set of irreducible characters of a finite group with p&rsquo\;-deg
 ree and the corresponding set for the normalizer of a Sylow p- subgroup. N
 avarro&rsquo\;s refinement suggests that the values of the characters on e
 ither side of this bijection should also be related\, proposing that the b
 ijection commutes with certain Galois automorphisms. Recently\, Navarro&nd
 ash\;Sp&auml\;th&ndash\;Vallejo have reduced the McKay&ndash\;Navarro conj
 ecture to certain &ldquo\;inductive&rdquo\; conditions on finite simple gr
 oups. I&rsquo\;ll discuss joint work with Lucas Ruhstorfer\, in which we p
 rove that these inductive McKay&ndash\;Navarro (also called the inductive 
 Galois&ndash\;McKay) conditions hold when p = 2 for several groups of Lie 
 type.
LOCATION:Seminar Room 1\, Newton Institute
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