Thursday, June 30, 2022

Thursday, June 30, 2022 — 1:00 PM EDT

Title: Determinantal formulas with major indices

Speaker: Thomas McConville Affiliation: Kennesaw State Room: MC 5483

Abstract: Krattenthaler and Thibon discovered a beautiful formula for the determinant of the matrix indexed by permutations whose entries are q^maj( u*v^{-1} ), where “maj” is the major index. Previous proofs of this identity have applied the theory of nonsymmetric functions or the representation theory of the Tits algebra to determine the eigenvalues of the matrix.

S M T W T F S
29
30
31
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
1
2
  1. 2022 (97)
    1. August (1)
    2. July (17)
    3. June (17)
    4. May (10)
    5. April (12)
    6. March (18)
    7. February (10)
    8. January (13)
  2. 2021 (103)
    1. December (3)
    2. November (7)
    3. October (6)
    4. September (12)
    5. August (6)
    6. July (10)
    7. June (12)
    8. May (7)
    9. April (9)
    10. March (13)
    11. February (8)
    12. January (10)
  3. 2020 (119)
  4. 2019 (167)
  5. 2018 (136)
  6. 2017 (103)
  7. 2016 (137)
  8. 2015 (136)
  9. 2014 (88)
  10. 2013 (48)
  11. 2012 (39)
  12. 2011 (36)
  13. 2010 (40)
  14. 2009 (40)
  15. 2008 (39)
  16. 2007 (15)