University COVID-19 update

The University of Waterloo is constantly updating our most Frequently Asked Questions.

Questions about buildings and services? Visit the list of Modified Services.

Please note: The University of Waterloo is closed for all events until further notice.

Seminar - Cynthia VinzantExport this event to calendar

Wednesday, January 29, 2014 — 9:30 PM EST

Determinants, Hyperbolicity and Interlacing

Speaker: Cynthia Vinzant
Affiliation: University of Michigan
Room: Mathematics and Computer Building (MC) 5158

Abstract: 

Writing a multivariate polynomial as the determinant of a matrix of linear forms is a classical problem in algebraic geometry and
complexity theory. Requiring that this matrix is Hermitian and positive definite at some point puts topological and algebraic restrictions on the polynomials that appear as the determinant and its minors. In particular the real zero sets of these polynomials are hyperbolic (or real stable) and interlace. I'll talk about the beautiful geometry behind these determinants
and its connection to semidefinite programming in optimization and matroid theory in combinatorics.

Location 
MC - Mathematics & Computer Building
5158
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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. 2021 (85)
    1. October (1)
    2. September (8)
    3. August (7)
    4. July (10)
    5. June (12)
    6. May (7)
    7. April (9)
    8. March (13)
    9. February (8)
    10. January (10)
  2. 2020 (119)
    1. December (5)
    2. November (12)
    3. October (12)
    4. September (12)
    5. August (11)
    6. July (17)
    7. June (11)
    8. May (6)
    9. March (11)
    10. February (11)
    11. January (11)
  3. 2019 (167)
  4. 2018 (136)
  5. 2017 (103)
  6. 2016 (137)
  7. 2015 (136)
  8. 2014 (88)
  9. 2013 (48)
  10. 2012 (39)
  11. 2011 (36)
  12. 2010 (40)
  13. 2009 (40)
  14. 2008 (39)
  15. 2007 (15)