Analysis

The Analysis seminar meets on Wednesdays at 12:00 at room 70 in the Ross Building.
2019 Dec 18

Analysis Seminar: Moshe Goldberg (Technion) "Extending the Spectral Radius to Finite-Dimensional Power-Associative Algebras"

12:00pm to 1:00pm

Location: 

Ross 70
Title: Extending the Spectral Radius to Finite-Dimensional Power-Associative Algebras Abstract: The purpose of this talk is to introduce a new concept, the \textit{radius} of elements in arbitrary finite-dimensional power-associative algebras over the field of real or complex numbers. It is an extension of the well known notion of the spectral radius. As examples, we shall discuss this new radius in the setting of matrix algebras, where it indeed reduces to the spectral radius, and then in the Cayley-Dickson algebras, where it is something quite different.
2019 Aug 15

Analysis Seminar: Mira Shamis (London) "Applications of the Ky Fan inequality to random (and almost periodic) operators"

12:00pm to 1:00pm

Location: 

Ross 70
Title: Applications of the Ky Fan inequality to random (and almost periodic) operators Abstract: We shall discuss the Ky Fan inequality for the eigenvalues of the sum of two Hermitian matrices. As an application, we shall derive a sharp version of a recent result of Hislop and Marx pertaining to the dependence of the integrated density of states of random Schroedinger operators on the distribution of the potential. Time permitting, we shall also discuss an application to quasiperiodic operators.
2019 Jun 26

Analysis Seminar - Dvoretzky lecture - Assaf Naor "The (in)compatibility of 3 and 5 dimensional Heisenberg geometry with Lebesgue spaces"

12:00pm to 1:00pm

Location: 

Ross 70
Title: The (in)compatibility of 3 and 5 dimensional Heisenberg geometry with Lebesgue spaces Abstract: The 3-dimensional (discrete) Heisenberg geometry is the shortest-path metric on the infinite graph whose vertex set is the integer grid $\Z^3$ and the neighbors of each integer vector $(a,b,c)$ are the four integer vectors $$(a+ 1,b,c), (a- 1,b,c), (a,b+ 1,c+ a), (a,b- 1,c- a).$$
2019 Apr 03

Analysis Seminar: Malte Gerhold (Technion) "Dilations of q-commuting unitaries"

12:00pm to 1:00pm

Location: 

Ross 70
Title: Dilations of q-commuting unitaries Abstract: Let (u,v) be a pair of unitary operators on a Hilbert space H such that vu=quv for a complex number q of modulus 1. For q' another complex number of modulus 1, we determine the smallest constant c>0 for which there exists a pair of q' commuting unitaries (U,V) on a larger Hilbert space K containing H such that (u,v) is the compression of (cU,cV) to H.

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