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

2019
Dec
25

# Analysis Seminar: Adi Glucksam (Toronto)

12:00pm to 1:00pm

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

2019
Dec
25

12:00pm to 1:00pm

2020
Jan
01

2020
Jan
15

2019
Nov
06

2020
Jan
22

2019
Dec
18

12:00pm to 1:00pm

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.

2020
Jan
08

2019
Nov
13

2019
Dec
11

2019
Nov
27

2019
Nov
20

2019
Dec
04

2019
Aug
15

12:00pm to 1:00pm

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

12:00pm to 1:00pm

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

12:00pm to 1:00pm

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.