### Comments on the BMV Trace Conjecture

- Series
- Analysis Seminar
- Time
- Thursday, December 1, 2011 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Pierre Moussa – CEA/Saclay, Service de Physique Theorique, France

The term "BMV Conjecture" was introduced in 2004 by Lieb and
Seiringer for a conjecture introduced in 1975 by Bessis,
Moussa and Villani, and they also introduced a new form for
it : all coefficients of the polynomial Tr(A+xB)^k are
non negative as soon as the hermitian matrices A and B are
positive definite. A recent proof of the conjecture has been
given recently by Herbert Stahl. The question occurs in various
domains: complex analysis, combinatorics, operator algebras and
statistical mechanics.