2019
Aug
05

# Basic Notions

- 2019 Jun 27
# Basic Notions: Hillel Furstenberg (HUJI) : "Affine (Convex) representations and harmonic functions on symmetric spaces." Part 2

4:00pm to 5:15pm## Location:

Ross 70Classical group representation theory deals with group actions on linear spaces; we consider group actions on compact convex spaces, preserving topological and convex structure. We focus on irreducible actions, and show that for a large class of groups - including connected Lie groups - these can be determined. There is a close connection between this and the theory of bounded harmonic functions on symmetric spaces and their boundary values. - 2019 Jun 20
# Basic Notions: Hillel Furstenberg (HUJI) : "Affine (Convex) representations and harmonic functions on symmetric spaces." Part 1

4:00pm to 5:15pm## Location:

Ross 70Classical group representation theory deals with group actions on linear spaces; we consider group actions on compact convex spaces, preserving topological and convex structure. We focus on irreducible actions, and show that for a large class of groups - including connected Lie groups - these can be determined. There is a close connection between this and the theory of bounded harmonic functions on symmetric spaces and their boundary values. - 2019 Jun 12
# NO SEMINAR Basic Notions

4:00pm to 5:15pm## Location:

Ross 701) Abstract of Wayne's part: Today, in our modern world, we perceive the physical universe in mathematical terms; whether degrees on longitude and latitude on earth, or in units of space-time beyond our earthly horizons. This talk will present two ancient cuneiform tablets from Babylonia which offer a geometric impression of the physical world as experienced by ancient Babylonians. Comparisons will be made with a range of other ancient mathematical, geographic, and astronomical materials from the cuneiform Ancient Near East. 2) Abstract of Mourtaza's part: - 2019 Jun 06
# Basic Notions: Eugene Trubowitz (ETH) "Mathematical Methods of Many Body Quantum Field Theory"

4:00pm to 5:15pm## Location:

Ross 70Let (V,<, >) be a finite dimensional inner product space and K a self adjoint element of End(V ). It is an axiom of physics that the expected value of A in End(V ) in equilibrium at temperature T with respect to K is the ration Tr(A exp (-K/T))/Tr(exp (-K/T)). - 2019 May 30
# Basic Notions: Eugene Trubowitz (ETH) "Mathematical Methods of Many Body Quantum Field Theory"

4:00pm to 5:15pm## Location:

Ross 70Let (V,<, >) be a finite dimensional inner product space and K a self adjoint element of End(V ). It is an axiom of physics that the expected value of A in End(V ) in equilibrium at temperature T with respect to K is the ration Tr(A exp (-K/T))/Tr(exp (-K/T)). - 2019 May 23
# Basic Notions: Ehud de Shalit (HUJI) " Hilbert's 12th problem - recent developments"

4:00pm to 5:15pm## Location:

Ross 70Hilbert's 12th problem (Kronecker's Jugendtraum) is one of the major open problems - 2019 May 16
# Basic Notions: Ehud de Shalit (HUJI) " Hilbert's 12th problem - recent developments"

4:00pm to 5:15pm## Location:

Ross 70Hilbert's 12th problem (Kronecker's Jugendtraum) is one of the major open problems - 2019 Apr 04
- 2019 Mar 28
# Basic Notions: Benjamin Weiss (HUJI) "Groups with property T have and "cost" of equivalence relations"

4:00pm to 5:15pm## Location:

Ross 70The cost of a measure-preserving equivalence relation is a quantitative measure of its complexity. I will explain what the cost is and then discuss a recent result of Tom Hutchcroft and Gabor Pete in which they construct, for any group with property T, a free ergodic measure preserving action with cost 1.