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G2 manifolds: September 2 – 5, 2014

Application for workshop  is now closed.

Organized by Simon Donaldson, Mark Haskins, and Dietmar Salamon

Dates: September 2 – 5, 2014

Attendee ListDownload Talk ScheduleView Videos

This workshop seeks to connect recent developments and open questions in the theory of compact manifolds with special or exceptional holonomy (especially G_2 manifolds) with other areas of mathematics and theoretical physics: differential topology, algebraic geometry, (non compact) Calabi-Yau 3-folds, K3 surfaces, submanifold theory, J-holomorphic curves, gauge theory and M-theory in particular. One of the aims of the workshop is to bring to wider attention some of the problems in other parts of mathematics that have arisen recently in the theory of compact G_2 manifolds and to bring together experts from these disparate areas.

This workshop is a part of the Fall 2014 program, G2 manifolds, which is organized by Simon Donaldson, Mark Haskins, and Dietmar Salamon. This program takes place from August 18 – October 3, 2014.

*Please note: This workshop starts on Tuesday, September 2nd, 2014 due to the US holiday of Labor Day on Monday, September 1st. The Simons Center will be closed on September 1st.

All workshop talks will be held in the Simons Center Lecture Hall (Room 102).

Please note that on Tuesday, 9/2, at 4:00pm Matthias Kreck’s talk will be held in the Simons Center Auditorium (Room 103). This talk is both the G2 manifolds workshop talk &  Math’s Geometry/Topology seminar.

G2 manifolds Workshop Schedule

Time Title Presenters  Video
 8:30am Breakfast and registration begins (8:30am – 9:30am) SCGP Lobby and Cafe
 9:30am New invariants in G_2 topology Diarmuid Crowley video
10:30am Coffee Break SCGP Cafe
11:00am Disconnecting the G_2 moduli space Johannes Nordstrom video
slides
12:00pm Lunch SCGP Cafe
 1:15pm Smooth group actions on 4-manifolds and Yang-Mills gauge theory Ian Hambleton video
 2:15pm Short Break
 2:30pm Formality in cosymplectic and Sasakian geometries Marisa Fernandez video
slides
 3:30pm Tea Time SCGP Lobby/Patio
 4:00pm From Kaluza-Klein manifolds to Calabi-Yau manifolds (G2 manifolds workshop talk & Math’s Geometry/Topology seminar) Matthias Kreck (Room 103) video


Time Title Presenters  Video
 8:30am Breakfast begins (8:30am – 9:30am) SCGP Cafe
 9:30am G_2 structures and Ricci solitons Anna Fino video
slides
10:30am Coffee Break SCGP Cafe
11:00am Coupled flows and calibrated geometry Jason Lotay video
slides
12:00pm Lunch SCGP Cafe
 1:15pm An affine Calabi-Yau manifold with irregular tangent cone at infinity Ronan Conlon video
 2:15pm Short Break
 2:30pm Singularities of Special Lagrangian Submanifolds Yohsuke Imagi video
 3:30pm Tea Time SCGP Lobby/Patio
 4:00pm Geometry of the space of positive Lagrangians Jake Solomon video

Time Title Presenters  Video
 8:30am Breakfast begins (8:30am – 9:30am) SCGP Cafe
 9:30am Singularities of G2 manifolds: geometry and physics Sergei Gukov video
10:30am Coffee Break SCGP Cafe
11:00am Singular limits of G2 metrics and non-abelian gauge symmetry in M-theory Dave Morrison video
12:00pm Lunch SCGP Cafe
 1:15pm M-theory Compactified on a G2 Manifold – Connections to our real 4D world Gordon Kane video
slides
 2:15pm Short Break
 2:30pm Elliptic fibrations in F-theory via deformations Antonella Grassi video
 3:30pm Tea Time SCGP Lobby/Patio
 4:00pm Elliptic Fibrations with Higher Rank Mordell-Weil Groups: F-­Theory Compactifications with Higher Rank Abelian Symmetries Mirjam Cvetic video
slides
 6:00pm Workshop banquet SCGP Cafe

Time Title Presenters  Video
 8:30am Breakfast begins (8:30am – 9:30am) SCGP Cafe
 9:30am G_2–instantons and the Seiberg–Witten equation with multiple spinors Thomas Walpuski video
10:30am Coffee Break SCGP Cafe
11:00am Donaldson-Thomas theory for Calabi-Yau four-folds Yalong Cao video
slides
12:00pm Lunch SCGP Cafe
 1:15pm Monopoles on G2 manifolds Goncalo Oliveira video
 2:15pm Short Break
 2:30pm Associative and coassociative fibrations David Baraglia video
 3:30pm Tea Time SCGP Lobby/Patio
 4:00pm Kahler structure on the knot space of a G2-manifold Misha Verbitsky video
slides

SCGP_G2manifold_11x17-FR