Arrival Date: Sunday June 2, 2019. Departure Date: Saturday June 8, 2019.

All talks will take place in the Huxley Building, room 140.
Registration and coffee/tea are in the Huxley 5th floor common room.

Scientific Organizers: Mark Haskins and Dominic Joyce

Local Organizer: Mark Haskins

Schedule

Speakers:

• Mohammed Abouzaid (Columbia University), On nearby special Lagrangians
• Costante Bellettini (University College London), Analysis of singular sets in geometric analysis
• Costante Bellettini (University College London), Analysis of singular sets in calibrated geometric analysis
• Simon Donaldson (SCGP/Imperial College London), Adiabatic associative and co-associatives
• Simon Donaldson (SCGP/Imperial College London), Deformations of branched harmonic functions and Kovalev-Lefschetz fibrations
• Mark Haskins (University of Bath), Overview of special Lagrangian construction methods
• Yohsuke Imagi (Chinese University of Hong Kong), On Thomas-Yau’s Uniqueness Theorem
• Dominic Joyce (Oxford University), Lagrangian MCF, Bridgeland stability and the Thomas-Yau conjecture
• Yng-Ing Lee (National Taiwan University), Survey of Lagrangian Mean Curvature Flow
• Yanki Lekili (Kings College London), Homological mirror symmetry for higher dimensional pants
• Yang Li (Imperial College London), SYZ conjecture, special Lagrangian, and negative vertex
• Jason Lotay (Oxford Universit), Ancient solutions in Lagrangian mean curvature flow
• Johannes Nordström (University of Bath), Gluing constructions for associatives
• Pavel Putrov (ICTP), Cayley cycles and modular forms
• Jake Solomon (Hebrew University of Jerusalem), Geodesics in the space of positive Lagrangian submanifolds
• David Treumann (Boston College), Constructible sheaves and Lagrangian cones
• Eric Zaslow (Northwestern University), Graphs, Lagrangians and Open Gromov-Witten Conjectures

Arrival Date: Sunday January 6, 2019. Departure Date: Saturday January 12, 2019.

Talks Mon-Wed will be at Huxley Bldg 140.  Talks Thurs-Fri will take be at Huxley Blg 341 [ click for map ]

Registration and coffee/tea are in the Huxley 5th floor common room.

Schedule

Speakers:

• Sébastien Boucksom (École Polytechnique), The essential skeleton of a Calabi-Yau degeneration
• Andreas Braun (Oxford), Exceptional Holonomy, String Duality and Vector Bundles
• Michele Del Zotto (Durham, UK), Aspects of 5d SCFTs and their gauge theory phases
• Mark Gross (Cambridge), From SYZ to GS
• Yang Li (Imperial College London), Taub-NUT and Ooguri-Vafa
• Yang Li (Imperial College London), Taub-NUT (and Ooguri-Vafa) on Calabi-Yau 3-folds
• Diego Matessi (Milan), Polarized tropical manifolds and Lagrangian torus fibrations
• Diego Matessi (Milan), Conifold transitions and deformations of polarized tropical manifolds
• David Morrison (UC-Santa Barbara), Degenerations of complex structures on K3 surfaces, following Kulikov, Persson, and Pinkham
• David Morrison (UC-Santa Barbara), Supersymmetric torus fibrations of Calabi-Yau threefolds
• Shigeru Mukai (RIMS, Kyoto), Prime Fano 3-folds and BN-general K3s
• Johannes Nordström (Bath), Building blocks for twisted connected sums
• Johannes Nordström (Bath), The matching problem for twisted connected sums
• Song Sun (UC-Berkeley), Degeneration of Calabi-Yau metrics under complex structure degenerations

Arrival date: Saturday, September 8.
Departure date: Wednesday afternoon, September 12, or Thursday, September 13.

Schedule:

Speakers:

• Gao Chen (IAS), G₂ manifolds with nodal singularities along circles
• Simon Donaldson (SCGP & Imperial College London), G₂-structures on manifolds with boundary and positive mean curvature.
• Anna Fino (Università degli Studi di Torino), Compact 7-manifolds with closed G₂-structures
• Sergei Gukov (Cal Tech), Nakajima-Yoshioka blow-up formula and VOA
• Mark Haskins (University of Bath), Complete noncompact metrics of special and exceptional holonomy: the first 40 years.
• Andriy Haydys (Frieburg University), Special Kaehler structures with isolated singularities in real dimension two.
• Hans-Joachim Hein (Fordham University), Higher-order estimates for collapsing Calabi-Yau metrics
• David Morrison (UC Santa Barbara), G₂ spaces with K3 fibrations
• Simon Salamon (Kings College London), Generating equidistant points
• Eirik Svanes (Kings College London), String Dualities and an Infinity of Associative Submanifolds
• Yuuji Tanaka (Univerisity of Oxford),  On the Vafa-Witten theory on closed four-manifolds
• Markus Upmeier (Universität Augsburg),  Canonical Orientations for the Moduli Space of G₂-instantons
• Thomas Walpuski (Michigan State University), Super-rigidity and Castelnuovo’s bound.
• Yuguang Zhang (University of Bath), Adiabatic limits of anti-self-dual connections on collapsed K3 surfaces

This conference will be immediately followed by our Second annual meeting held at the Simons Foundation in New York City.

Arrival Date: Sunday June 3. Departure Date: Saturday June 9. All but one of our meetings are in Huxley 140. Registration and coffee/tea are in the Huxley 5th floor common room.

Schedule

Speakers:

• Robert Bryant (Duke University), On solitons for the closed G₂-Laplacian flow
• Esther Cabezas-Rivas (Goethe-Universität Frankfurt), The ABC of Ricci Flow
• Esther Cabezas-Rivas (Goethe-Universität Frankfurt), Ricci Flow, non-negative curvatures & beyond
• Sir Simon Donaldson (Imperial College London and SCGP), G₂ manifolds with boundary
• Sir Simon Donaldson (Imperial College London and SCGP), Adiabatic limits, multi-valued harmonic functions and the Nash-Moser-Zehnder theory
• Anna Fino (University of Turin), Laplacian flow and special metrics
• Dominic Joyce (Oxford University), On Mirror Symmetry, Fukaya categories, and Bridgeland stability, with a view towards Lagrangian Mean Curvature Flow
• Jason Lotay (University College London), The G₂ Laplacian flow: introduction and overview
• Jason Lotay (University College London), The G₂ Laplacian flow: progress and outlook
• Pranav Pandit (University of Vienna), Categorical Kähler Geometry
  
• Pranav Pandit (University of Vienna), Gradient flows, iterated logarithms, and semistability
  
• Felix Schulze (University College London), Singularity formation in Lagrangian mean curvature flow
• Chung-Jun Tsai (National Taiwan University), A strong stability condition on minimal submanifolds
• Celso Viana (University College London), The evolution of the Whitney sphere along mean curvature flow
• Alex Waldron (SCGP), Recent developments in Yang-Mills flow
• Lu Wang (University of Wisconsin, Madison), Properties of self-similar solutions of mean curvature flow
• Toby Wiseman (Imperial College London), Some applications of Ricci flow in physics

Arrival date: Sunday, April 8, 2018. Departure date: Friday, April 13, 2018.

The conference venue is the 21C Hotel in downtown Durham, North Carolina. 

Schedule

Speakers:

• Jeff Cheeger (Courant), Curvature and injectivity radius estimates for Einstein 4-manifolds
• Gao Chen (IAS), Classification of gravitational instantons
• Lorenzo Foscolo (Heriot-Watt), Examples of collapsing 4-dimensional hyperkähler metrics
• Mark Haskins (Bath), Uncollapsing highly collapsed G₂ holonomy metrics
• Yang Li (Imperial College London), Nonlinear perspective of collapsing CY metrics on K3 fibred 3-folds
• Yang Li (Imperial College London), A gluing construction of collapsing CY metrics on K3 fibred 3-folds
• Rafe Mazzeo (Stanford), The large-scale structure of the Hitchin moduli space
• Rafe Mazzeo (Stanford), Analysis of elliptic operators on complete spaces with asymptotically regular collapsing geometry
• Dave Morrison (UC Santa Barbara), Collapsing metrics in string theory and M-theory
• Xiaochun Rong (Rutgers), Collapsed manifolds with Ricci local bounded covering geometry
• Simon Salamon (King’s College London), Automorphisms of Fano contact manifolds
• Jeff Viaclovsky (UC Irvine), Gravitational collapsing of K3 surfaces I
• Guofang Wei (UC Santa Barbara), Manifolds with integral curvature bounds
• Ruobing Zhang (Stony Brook), Introduction to Ricci curvature and the convergence theory
• Ruobing Zhang (Stony Brook), Quantitative nilpotent structure and regularity theorems of collapsed Einstein manifolds
• Ruobing Zhang (Stony Brook), Gravitational collapsing of K3 surfaces II
• Yuguang Zhang (Imperial College London), Collapsing of Calabi-Yau manifolds and special lagrangian submanifolds
• Yuguang Zhang (Imperial College London), Collapsing of HyperKahler manifolds

Arrival date: Sunday, January 7, 2018. Departure date: Saturday, January 13, 2018.

Talks will take place at Huxley Building   [ click for map ] —
→ Monday-Wednesday: Huxley Building room 140
→ Thursday-Friday: Huxley Building room 340 & 139 (see chart below)

Schedule

Speakers:

• Bobby Acharya (ICTP and King’s College London), String dualities and calibrated cycles
• Xuemiao Chen (Stony Brook), Singularities of Hermitian Yang Mills connections and the Harder-Narasimhan-Seshadri filtration
• Sergey Cherkis (University of Arizona), Octonionic Monopoles and another look at the Twistor Transform
• Xenia de la Ossa (Oxford), The geometry and moduli of heterotic G2 structures
• Aleksander Doan (Stony Brook), Multiple covers of associatives and ADHM monopoles
• Dominic Joyce (Oxford), Lie brackets on the homology of moduli spaces, and wall-crossing formulae
• Andriy Haydys (Freiburg), Seiberg-Witten monopoles and flat PSL(2,R)-connections
• Siqi He (Cal Tech), The extended Bogomolny equations and generalized Nahm pole solutions
• Yang Li (Imperial College London), Mukai duality on adiabatic coassociative fibrations
• Johannes Nordström (Bath), G₂-instantons on twisted connected sums
• Ben Sibley (Simons Center – Stony Brook), A complex analytic structure on the compactification of Hermitian-Yang-Mills moduli space
  
• Eirik Eik Svanes (ICTP), On marginal deformations of heterotic G₂ geometries
• Richard Thomas (Imperial College London), Introduction to coherent sheaves
• Matei Toma (Université de Lorraine), Moduli spaces of semistable sheaves with respect to Kähler polarizations
• Thomas Walpuski (Michigan State), Introduction to gauge theory on Riemannian manifolds with special holonomy
• Thomas Walpuski (Michigan State), On counting associative submanifolds and Seiberg–Witten monopoles
• Hartmut Weiß (Christian-Albrechts-Universität zu Kiel), On the asymptotic geometry of the Hitchin metric

Arrival date: Saturday, September 9.
Departure date: Wednesday afternoon, September 13, or Thursday, September 14.

Schedule

Speakers & Lecture titles:

• Bobby Acharya (ICTP and King’s College London), M-theory/heterotic/type IIA duality
• Gavin Ball (Duke University), SO(4)-structures on 7-manifolds
• Robert Bryant (Duke University), Algebraically special associative submanifolds and special holonomy metrics
• Daniel Butter (Texas A&M), Eleven-Dimensional Supergravity in 4D, N=1 Superspace
• Gao Chen (Institute for Advanced Study), Rate of asymptotic convergence near isolated singularity of a G₂ manifold
• Aleksander Doan (Stony Brook), Fueter sections and wall-crossing in Seiberg-Witten theory
• Joel Fine (Université Libre de Bruxelles), Hypersymplectic 4-manifolds and the G₂ Laplacian flow
• Lorenzo Foscolo (Heriot-Watt University), ALC manifolds with special holonomy
• Sebastian Goette (Freiburg), The extended v-invariant — progress and problems
• Sergei Gukov (Caltech), Topological Phases and Special Holonomy
• Jason Lotay (University College London), Invariant coassociative 4-folds via gluing
• Johannes Nordström (Bath), New asymptotically conical G₂-manifolds
• Simon Salamon (King’s College London), Quotients and hypersurfaces of model metrics
• Samson Shatashvili (Trinity College Dublin and SCGP), G₂ superconformal theories and mirror symmetry revisited
• Song Sun (Stony Brook), Singularities of Hermitian-Yang-Mills connections
• Thomas Walpulski (Michigan State), The (1,k)-ADHM Seiberg­-Witten equation and k­-fold covers of associatives

This conference will be immediately followed by our First annual meeting held at the Simons Foundation in New York City.

Arrival date: Sunday, June 4, 2017. Departure date: Saturday, June 10, 2017.

All talks will take place at Huxley Building room 340 [ click for map ]

Schedule

Speakers:

• Bobby Acharya (ICTP and King’s College London), M-theorists’ fantasy shopping list for singular G₂ manifolds
• Andreas Braun (Oxford), Mirror Symmetry for G₂ manifolds (see arXiv:1701.05202)
• Alessio Corti (Imperial College London), (Weak) Fano 3-folds and CHNP
• Sir Simon Donaldson (Imperial College and SCGP), 3+4 dimensional reductions of G₂ holonomy—collapsing and boundary value problems
• Sebastian Goette (Freiburg), Disconnecting the G₂ moduli space
• Adam Jacob (UC Davis), Hermitian Yang Mills connections on reflexive sheaves
• Dominic Joyce (Oxford), Constructing compact 7-manifolds with holonomy G₂ (Monday), Constructing compact 8-manifolds with holonomy Spin(7) (Tuesday)
• Spiro Karigiannis (Waterloo), Constructing compact G₂ manifolds by resolving (Calabi-Yau 3-fold x S¹)/Z₂
• Alexei Kovalev (Cambridge), Constructing compact, holonomy Spin(7) manifolds as generalised connected sums
• Yang Li (Imperial College London), A new complete Calabi-Yau metric on C³ with maximal volume growth
• Jason Lotay (UCL), Calibrated submanifolds of G₂ and Spin(7) manifolds with conical singularities
• Johannes Nordström (Bath), Twisted connected sum G₂-manifolds (Monday), Topological invariants of G₂-manifolds (Tuesday)
• Tommaso Pacini (Torino), Geometry and analysis of conifolds