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# Operator Algebra Seminars

**
Fri., Feb. 17, 2017 10:45 a.m.
- Fri., Feb. 17, 2017 12:00 p.m.
**

**
Location: RIC 215
**

**Speaker:** Samir Raouafi

**Title:** Crouzeix's Conjecture

**Abstract:**

Crouzeix's conjecture is an interesting open problem in operator theory. The conjecture states that the numerical range W(A) of any bounded linear operator A in a complex Hilbert space is a (complete) 2-spectral set for A. Two weeks ago, Crouzeix and Palencia proved that W(A) is (complete) 1 + sqrt(2) spectral set. We will discuss this proof and some applications.