## Microlocal Geometry

### David Nadler, Fall 2013

Notes are unedited. Any errors introduced are mine.Lecture 1: Introduction

Lecture 2: Whitney stratifications

Lecture 3: Thom's first isotopy theorem

Lecture 4: Tame topology

Lecture 5: Homology and cohomology of reasonable spaces

Lecture 6: More about homology and cohomology

Lecture 7: Intersection cohomology

Lecture 8: More about intersection cohomology

Lecture 9: Computing intersection cohomology

Lecture 10: Local systems

Lecture 11: Constructible sheaves

Lecture 12: More about constructible sheaves

Lecture 13: Microlocal support

Lecture 14: More about microlocal support

Lecture 15: Microlocal Morse theory

Lecture 16: Characteristic cycles

Lecture 17: Computations with characteristic cycles

Lecture 18: Sheaves on the affine line

Lecture 19: Sheaves on the projective line, the Fourier transform

Lecture 20: Nearby and vanishing cycles

Lecture 21: More about nearby and vanishing cycles

Lecture 22: Deformation to the normal cone

Lecture 23: More about deformation to the normal cone

Lecture 24: Microlocal homology

Lecture 25: Hamiltonian reduction

Lecture 26: More about Hamiltonian reduction