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Differential Geometry and Topology Seminar
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Weekly seminar in topics ranging amongst symplectic and Riemannian geometry, low-dimensional and algebraic topology, dynamical systems, geometric group theory etc. The seminar meets Wednesday afternoons (in term) from 4.00-5.00 p.m. Also archived on the DPMMS seminar pages. Talks before Michaelmas 2008 were part of the (then) Geometry Seminar series. If you have a question about this list, please contact: Jake Rasmussen; HoD Secretary, DPMMS; Oscar Randal-Williams; Henry Wilton; Ailsa Keating. If you have a question about a specific talk, click on that talk to find its organiser. 3 upcoming talks and 330 talks in the archive. Simplicial volume and aspherical manifolds
Simplicial volume and aspherical manifolds
Knot theory and complex curves
Fixed point Floer cohomology and the enumerative geometry of singular hypersurfaces
Scissors automorphism groups and their homology
The Real Spectrum Compactification of Character Varieties and its relationship with other compactifications
The stable cohomology of block diffeomorphisms of connected sums of S^k × S^l
Open Gromov-Witten invariants in genus zero
Special seminar: Superabundance and Lagrangian submanifolds
Building non-positive curved spaces with tropical data
Special seminar: SYZ fibrations and tropical geometry
Degeneration of Calabi-Yau metrics
Homological mirror symmetry for K3 surfaces
Homeomorphisms of contractible manifolds
Bounded cohomology of transformation groups of R^n
Group rings and hyperbolic geometry
Generalized homology and symplectic cohomology
Lagrangian cobordisms and K-theory of bielliptic surfaces
Distance in the pants graph and applications to hyperbolic geometry
Simple homotopy types of even dimensional manifolds
Associative submanifolds in G2 manifolds with symmetries
Finite quotients and fibring with a view towards projective varieties
2-torsion rational homology spheres and SL(2,C)-representations
Taut surgeries on curves and shortest geodesics
Counting limit theorems for representations of Gromov-hyperbolic groups
Scalar curvature on manifolds with at least two ends
Arborealization and the construction of Floer homotopy types for Weinstein manifolds
Type A symplectic Auslander correspondence
Lagrangian link quasimorphisms and the non-simplicity of Hameomorphism group of surfaces
Distribution of random quasifuchsian surfaces in 3-manifolds
An h-principle for algebraic bundles and applications
Infinite-dimensional Morse indices and new invariants of G2-manifolds
Symplectic invariants of Calabi-Yau threefolds
Slice alternating knots, rational balls, and lattice embeddings
Stable equivalence relations of 4-manifolds
Canonical decomposition of rational maps
Closed geodesics and intersection numbers
Homological stability of diffeomorphism groups using E_k-algebras
CR-twistor spaces over manifolds with G_2- and Spin(7)-structures
Deeper into the mapping class group via configurations
From veering triangulations to dynamic pairs
The cyclic open-closed map, u-connections and R-matrices
Parameterised moduli spaces of surfaces as infinite loop spaces
Reciprocal geodesics and dihedral subgroups of lattices in PSL(2, R)
String topology and the configuration space of two points
On not the rational dualizing module for Aut(F_n)
The role of stability conditions in understanding Artin groups
Topological Langlands duality for 3-manifolds
Morava K-theory of infinite groups and Euler characteristic
4-manifolds with infinite cyclic fundamental group
Mapping class groups for simply connected 4-manifolds with boundary
Homological filling functions and the word problem
The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
Geometry and spectrum of random hyperbolic surfaces
Homotopical Lagrangian Monodromy
Khovanov homology and knot detection
Applications of cobordism categories to enumerative invariants
Smooth embeddings and their families
Character varieties of random groups
The surface category and tropical curves
Knots, minimal surfaces and J-holomorphic curves
Morava K-theory and Hamiltonian loops
Homological stability for Temperley-Lieb algebras
Symplectic cohomology of compound du Val singularities
The topology of the Gelfand–Zeitlin fiber
Trying to quantify Gromov's non-squeezing theorem
Cubulating groups acting on polygonal complexes
The transport Oka-Grauert principle for simple surfaces
Trisections and the Thom conjecture - CANCELLED
Highly connected manifolds in dimensions larger than 248
An arithmetic count of rational plane curves
Recent progress on the Fried conjecture
Resonant spaces for volume preserving Anosov flows
Rational curves and birational contractions on hyperkahler manifolds
Groups acting improperly on cube complexes
Exotic Lagrangian tori in Grassmannians
Quantum topology of Legendrian curves
Obstructing isotopies between surfaces in four-manifolds
Quasimorphisms on groups of diffeomorphisms
Homological representations for families of groups
Knotted surfaces in 4-manifolds and distances between them
The spectrum of simplicial volume
Exact Calabi-Yau structures and disjoint Lagrangian spheres
Symplectic embeddings and infinite staircases
Blowing up extremal Poincaré type manifolds
Splitting of the homology of the punctured mapping class group
Squeezing Lagrangian tori in R^4
Lagrangian Clean Surgery and Projective Dehn Twists
Cohomology of Torelli groups
Smoothing finite group actions on three-manifolds
New complete metrics with holonomy G_2
Torus knots and rational homology balls
Jordan property for diffeomorphism groups
Critical points of low index for the systole function
Surface subgroups of cubulable hyperbolic groups
Stabilization distance bounds from link Floer homology
Tropical Lagrangians and mirror symmetry
Detecting exotic smooth structures in diffeomorphism groups
Quantum cohomology and DAHA actions
Algebraic K-theory and exact Lagrangians in cotangent bundles
Convex cocompact actions of Coxeter groups
Matrix integrals, graphs on surfaces and mapping class groups
An analogue of the curve complex for Garside groups
Detecting splittings of hyperbolic groups
Tropically constructed Lagrangian in mirror quintic threefolds
Lp-restriction of eigenfunctions to random Cantor type sets
Stable diffeomorphisms of 4-manifolds - POSTPONED
Bundles with fiberwise negatively curved metrics
On symplectic stabilisations and mapping classes
Word-hyperbolic surface bundles
Integrals over unitary groups, maps on surfaces, and Euler characteristics
Normal subgroups of mapping class groups
Legendrian Surfaces: Fostering the Art of Front Cooking
Homotopical ideas in the theory of knots
SU(2)-cyclic surgeries and the pillowcase
Monodromy, flops and deformations
Infinite staircases in symplectic embedding capacity functions
Cubic fourfolds, K3 surfaces, and mirror symmetry
Hypersymplectic structures on 4-manifolds and the G2 Laplacian flow
Ultralimits of maximal representations
Symmetries in monotone Lagrangian Floer theory
Homological Stability of Moduli Spaces of High Dimensional Manifolds
The Calderon problem for connections
On the existence of Lagrangians with special properties
Higher Teichmueller theory: from PSL(2,R) to other Lie groups
Annular Khovanov-Lee homology, Braids, and Cobordisms
Rigidity and Flexibility for Handlebody Groups
The cohomological McKay correspondence via Floer theory
A log PSS map with applications to Lagrangian embedding questions
Prospects for Floer homotopy theory
Coherence and Kähler groups
Surface subgroups of graphs of free groups.
Thurston eigenvalues for unbounded postcritically finite rational maps
Applications of cellular E_2-algebras
Stability of the geodesic ray transform in the presence of caustics
Polynomial-time Nielsen--Thurston type recognition
A remark on the Euler equations of hydrodynamics
Holonomy perturbations and irreducible SL(2,C)-representations of homology 3-spheres
From Foliations to Contact Structures
Concordance maps in knot Floer homology
Filtering the Heegaard-Floer contact invariant
C⁰-symplectic topology and the Arnold conjecture.
Homotopy theory and the space of metrics of positive scalar curvature
Infinite loop spaces and positive scalar curvature in the presence of a fundamental group
Counting torus fibrations on a K3 surface
An "unlinked" Floer homology, and Poincaré surfaces.
Geometric Whitney problem: reconstruction of a manifold from a point cloud
Rational homotopy theory of the little n-disks operads
Quasicircles of dimension 1+k^2 do not exist
Fixed point theorems for holomorphic maps on Teichmueller spaces and beyond
Geometry of the moduli space of abelian differentials
Tight contact structures on connected sums need not be contact connected sums
On profinite properties of 3-manifolds.
Resonance for loop homology of spheres
Resolving isolated singularities of Kahler constant scalar curvature compact and ALE orbifolds
Contact topology from the Legendrian viewpoint
Recurrence on infinite cyclic coverings
Floer simple manifolds and L-space intervals
Wise's w-cycle conjecture and homological coherence for one-relator groups
Involutive Heegaard Floer homology and new correction terms
Recurrence on infinite cyclic coverings - CANCELLED
Inessential Brown-Peterson homology and bordism of elementary abelian groups
Formality of symplectic mapping tori
Cycles in moduli spaces of graphs
Teichmüller curves in genus three and unlikely intersections
L-spaces versus non-left-orderability for graph manifolds
Sums of excursions along random Teichmuller geodesics and volume asymptotics in the moduli space of quadratic differentials
Lagrangian unknottedness in the cotangent bundle of a torus and applications
Categorified colored HOMFLY invariants of rational tangles
Towards homological mirror symmetry for hypersurfaces in the algebraic torus
The Crowley-Nordström invariant for G2 manifolds
Alternating knots with unknotting number one
The complex geometry of Teichmüller spaces and symmetric domains
Distinguishing 3-manifolds by their finite covers
On exotic Lagrangian tori in the complex projective plane
X-ray transform and lens rigidity on manifolds with hyperbolic trapped set
Modular symbols, class numbers, and the high-dimensional cohomology of SL_n(O_K)
Classifying 3-dimensional TQFTs via generators and relations.
Floer cohomology of the Chiang Lagrangian
Commuting symplectomorphisms and Dehn twists in divisors
Free versus locally free Kleinian groups.
Mirror symmetry without localization.
Gauge theory on G2–manifoldsNote atypical time
Hyperbolic inverse problems on a Riemannian manifold
Maps between mapping class groups and their subgroups
Symplectic magnetic fields on the two-sphere
The virtual fibring theorem for 3-manifolds
Chaotic properties of locally Hamiltonian flows on surfaces and their extensions
Circle invariant definite connection and symplectic Fano six-manifolds
Uniqueness of the contact structure approximating a foliation
Lagrangian tori in four-dimensional Milnor fibres
Equivariant Lagrangian branes and representations
Knot contact homology and topological strings
An analogue of the curve complex for a right-angled Artin group.
Homology of curves and surfaces in closed hyperbolic 3-manifolds
J-holomorphic foliations and embeddings of polydisks
Simplicial volume and bounded cohomology
Desingularisation of extremal metrics and minimal Lagrangians
Infinite loop spaces and positive scalar curvature
On the Fukaya category of a Fano hypersurface in projective space
Floer homology and the triangulation conjectureNote unusual day and time!
Boundary and lens rigidity and tensor tomography
Unlinking and unknottedness of monotone Lagrangian submanifolds
Defining a 'Fukaya category' of (derived) Lagrangians in a complex symplectic manifold using perverse sheaves
Spin(7)-instantons, the Bogomolov inequality and stable bundles on abelian 4-folds.
Structure of the colored HOMFLY knot homology
Spectral rigidity and invariant distributions on Anosov surfaces
Complex line arrangements and polyhedral metrics
A new invariant of G2 structures
Towards a vanishing theorem in bounded cohomology of Lie groups
A flexibility result in high-dimensional contact topology
Contact manifolds with symplectomorphic symplectizations
The Hele-Shaw flow and the moduli of holomorphic discs
Dehn twists and free subgroups of the symplectic mapping class group
Naturality of Heegaard Floer homology
Collapsing Riemannian manifolds and stability of inverse problems
The "Mumford conjecture" package, and applications
Min-max theory and the energy of links
Embedding symplectic balls into four-dimensional tori - CancelledCANCELLED (due to NY weather)
Morse 2-functions and trisections of 4-manifolds
Fibrant symplectic homology and the nearby Lagrangian conjecture
Cohomological dimension and engulfing
Local audibility of a hyperbolic metric
Disjoint Lagrangian spheresNote exceptional day and time!
On the rigidity of convex billiards
Homotopy of codimension one foliations on 3-manifolds
Fukaya categories of Stein manifolds
Betti numbers of random real hypersurfaces
Floer theoretically essential tori in rational blowdowns
Equivalent notions of rank for manifolds of non-positive curvature and for mapping class groups of surfaces
A generating function for higher Floer products and infinite-dimensional integrable systems
A gauge theoretic approach to the anti-self-dual Einstein equations
Diffeomorphism types of compact G2 manifolds
Gluing theorems and power series
Exact Lagrangian immersions with one double point
Tight but nonfillable contact manifolds in all dimensions
Regularity of subsolutions in discrete weak KAM theory
Microlocal theory of sheaves and symplectic geometry
Distinguishing between exotic symplectic structures
The attenuated ray transform for connections and Higgs fields
Quantum cohomology of twistor spaces
Rotation numbers and ziggurats
Effective log geometryNote unusual time -- part of ``Birational geometry day"
On quasimorphisms arising from equivariant moment maps
Contact geometry, open books and monodromy
Calibrated integral currents in geometry
Hausdorff dimension of oscillatory motions for the 3-body problem
The non-local vortex equations and gauged Gromov-Witten invariants
On the slice-ribbon conjecture for Montesinos knots
Character varieties of surfaces and Kauffman brackets
A plethora of exotic Stein manifolds
The geometry of hyperbolic 3-manifolds and rank of the fundamental group
A multi-dimensional Birkhoff theorem for Tonelli Hamiltonian flows
Lagrangian cobordisms of Legendrian knots and applications
K3 surfaces with non-symplectic involution and compact G2-manifolds
Poisson geometry and deformations of Hilbert schemes
Fukaya categories of the torus and Dehn surgery on 3-manifolds
Fukaya-Seidel categories and gauge theory
Continuity of extremal transitions and flops for Calabi-Yau manifolds
Lefschetz fibrations on Stein domains
HF=ECH via open book decompositions
Empty symplectic manifolds
A Runge approximation theorem for pseudoholomorphic curves
Constructing and counting incompressible surfaces in closed hyperbolic manifolds
On the cohomology of arithmetic hyperbolic manifolds
Small dilatations of pseudo-Anosov maps on hyperelliptic translation surfaces
Lagrangian topology, quantum structures and cobordisms
Floer cohomology on the universal cover and Audin's conjecture
The Dirichlet problem for fully nonlinear equations in Riemannian geometryNote unusual day and venue!
Upper bounds on Reidemeister moves
Symplectic homology of 4-dimensional Weinstein manifolds and Legendrian homology of links
Floer cohomology and pencils of quadrics
Scalar-flat Kaehler metrics on non-compact toric surfaces
Topological quantum field theory structure on symplectic cohomology
Differentiability and symplectic properties of the minimal lagrangian action
Symplectic mapping class groups of some Stein and rational surfaces
Symplectic homogenization and Mather's theory
Geometric aspects of the Aubry set
On the HOMFLY invariant of algebraic knotsNote unusual date
Link cobordisms, configuration spaces and a more natural setting for (symplectic) Khovanov homology
Morse homology on infinite dimensional manifolds and Lorentzian geodesics
Planar graphs and rational homology 4-balls
Colored Khovanov homology and sutured Floer homology
Knot homology and geometric representation theory
Extremal Coefficients in the HOMFLY polynomial
Bordism of projective space bundles and geometric applications
Deformations of Associative Submanifolds
Product structures in Floer homology
Explicit Moduli for Closed Genus 2 Surfaces
Linearized Legendrian contact homology and Lagrangian Floer cohomology
New Discretization of GL(n) connectionsAdditional Seminar -- Note Exceptional Day and Time!
Proof of the Caratheodory Conjecture by mean curvature flow
An overview of bordered Floer homology
Invariant geometric structures for group actions and the Zimmer program
On the existence of Hamiltonian stationary Lagrangian submanifolds
Contact homology for manifolds with convex boundary
Seiberg-Witten invariants and end-periodic Dirac operators
Obstructions to exact contact embeddings of unit cotangent bundles
Gauge theory, calibrated geometry and exceptional structures
Floer homology and hyperkaehler geometry
K-theory integral structures in quantum cohomology
Geometric realisations of the mapping class group
Strong symplectic fillings and holomorphic curves
Discrete group actions on symplectic manifolds
Counting closed geodesics on flat surfaces
Symplectic 4-manifolds and fibred 3-manifolds
Stability conditions and Donaldson-Thomas type invariants
Minimal surfaces and mean curvature flow
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Jeremy Hahn (Cambridge).
Wednesday 05 March 2025, 16:00-17:00