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Will Donovan
Talks
Window shifts and spherical (co)twists
For Glasgow
geometry and topology seminar
and Newcastle
algebra-geometry seminar
on work with
Ed Segal
.
Derived automorphisms for hyper-Kähler manifolds from Heisenberg categorification
Work in progress.
Representations of Lie groups and the eightfold way
For Edinburgh
geometry club
.
Spherical twists and brane transport
For
EGA seminar
on work with
Ed Segal
.
The McKay correspondence
Motivational talk for
CALF seminar
.
Mirror symmetry and Grassmannian twists
Rough notes for Warwick algebraic geometry seminar.
Derived categories and geometry
Short talk for Imperial post-doctoral forum.
Derived categories and the projective line
Short talk for LMS graduate meeting.
Reviews
Hermitian structures on the derived category of coherent sheaves
(José Ignacio Burgos Gil, Gerard Freixas i Montplet, Răzvan Liţcanu)
Less recent talks
Quantization, representations and Lie groups
Divisors and blow-ups
Geometry for curved space
For sixth-formers at Highgate School.
Fourier-Mukai theory
Introduction to sheaf cohomology
Flops and twists: gentle version
(
high-tech version
)
Derived categories of coherent sheaves
Lagrangian intersection Floer homology
Generalized Dehn twists
Gromov-Witten invariants
(
improved version
)
Chern classes
CALF seminar
(Imperial, 12 Nov '09):
Tilting and non-commutative algebras
Non-commutative Donaldson-Thomas invariants
(Ben Davison, Oxford)
Hyperplane arrangements and homotopy types
(
Julian Holstein
) (alternative
notes
by Alan Thompson)
Note that the affine simplicial scheme example here may need some elaboration.
Surveys
An essay on quantum gravity
, focusing on
causality
, which I wrote while at Cambridge.
Work in progress
Whiteboards
Archive
Window shifts and spherical twists
Grassmannian transfer functor
PhD transfer report