# Research Seminar Series

### Applied Mathematics Seminars

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

Given a manifold M on which a group G acts with compact quotient M/G, we discuss natural methods of solving equations Tu = f for T a linear, G-invariant operator acting in functions on M.

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information

### Arithmetic Study Group

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

Given a manifold M on which a group G acts with compact quotient M/G, we discuss natural methods of solving equations Tu = f for T a linear, G-invariant operator acting in functions on M.

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information

### Centre for Particle Theory Colloquia

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

Given a manifold M on which a group G acts with compact quotient M/G, we discuss natural methods of solving equations Tu = f for T a linear, G-invariant operator acting in functions on M.

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information

### Computing Seminars/Talks

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information

### CPT Student Seminar

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information

### Departmental Research Colloquium

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information

### Distinguished Lectures and Public Lectures

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information

### Geometry and Topology Seminar

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information

### Informal HEP Journal club

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information

### Maths HEP Lunchtime Seminars

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information

### Pure Maths Colloquium

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information

### Statistics Seminars

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information

### Stats4Grads

## Pure Maths Colloquium: Linear, invariant equations on manifolds with a group symmetry.

6 December 2010 17:15 in CM221

It turns out that there are appropriate generalizations of the classical Fredholm property corresponding to the situations in which G is discrete, unimodular Lie, and even nonunimodular Lie. Furthermore, generalizations of the classical Paley-Wiener theorem can be combined with these Fredholm properties to obtain fine existence and uniqueness results for the equation.

Contact anna.felikson@durham.ac.uk for more information