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Special Holonomy: Progress and Open Problems 2020, virtual meeting online, 14, 16, and 18 Sept., 2020

The collaboration will hold a VIRTUAL meeting on 14, 16, and 18 Sept., 2020, entitled “Special Holonomy: Progress and Open Problems 2020”.

Scientific Organizers:
Bobby Acharya bacharya@ictp.it,
Mirjam Cvetič cvetic@physics.upenn.edu, and
Jason Lotay jason.lotay@maths.ox.ac.uk.


Our schedule is as follows. – All times are given in British Summer Time as well as in Eastern Daylight Time. (Please refer to a time zone converter if you aren’t sure what time it will be in your time zone).

Timetable

MON 14 SEPTEMBER

WED 16 SEPTEMBER

FRI 18 SEPTEMBER

13:00-14:00 (BST)
8:00am-9:00am (EDT)

Y. Li S. Donaldson D. Joyce

14:00-14:30 (BST)
9:00am-9:30am (EDT)

Discussion I Discussion IV Discussion VII

14:30-15:00 (BST)
9:30am-10:00am (EDT)

Break Break Break

15:00-15:30 (BST)
10:00am-10:30am (EDT)

M. Haskins/J. Nordström K. Dixon J. Lotay

15:30-16:00 (BST)
10:30am-11:00am (EDT)

Discussion II M. Cvetic/G. Zoccarato R. Bryant

16:00-16:30 (BST)
11:00am-11:30am (EDT)

Break Discussion V G. Ball

16:30-17:00 (BST)
11:30am-12:00pm (EDT)

B. Acharya Break Break

17:00-17:30 (BST)
12:00pm-12:30pm (EDT)

Discussion III T. Walpuski D. Morrison

17:30-18:00 (BST)
12:30pm-1:00pm (EDT)

Discussion III Discussion VI Discussion VIII

18:00-18:30 (BST)
1:00pm-1:30pm (EDT)

Discussion VI Discussion VIII

Discussion Sessions:

  • Discussion I: SYZ/Singular fibrations, led by Y. Li
  • Discussion II: Singularities in G2-Laplacian flow, led by M. Haskins and J. Lotay
    (with a contribution from Jason Lotay)
  • Discussion III: Constructions of G2-manifolds/Interfaces of Physics with Geometry, led by B. Acharya
  • Discussion IV: Adiabatic coassociatives/counting associatives, led by S. Donaldson
  • Discussion V: Physics of Spin(7)/G2 bundles, led by J. Heckman and M. Cvetič
  • Discussion VI: Degenerations of G2-manifolds/Topology of G2-moduli space, led by S. Goette and T. Walpuski
  • Discussion VII: Open problems on enumerative invariants/Codim>4 singularities in higher dim gauge theory, led by D. Joyce and T.Walpuski
  • Discussion VIII: Open Problems in Special Holonomy from a Physics point of view, led by S. Schafer-Nameki

Speakers:

The links will take you to abstracts, slides of lectures, and/or video recordings of the lectures (when available).


Moduli of special holonomy metrics and their periods: virtual meeting online, 1-5 June 2020

The collaboration will hold a VIRTUAL meeting June 1-5, 2020, on the general topic of Moduli of special holonomy metrics and their periods.

Scientific Organizers:
Mark Haskins mhaskins@math.duke.edu,
Jason Lotay jason.lotay@maths.ox.ac.uk,
David Morrison drm@math.ucsb.edu,
Simon Salamon simon.salamon@kcl.ac.uk.

The virtual meeting comes in two parts:

  1. Recorded lectures which can be viewed by participants at any time, and;
  2. “Live” lectures streamed via Zoom and YouTube, which can also be watched later. Our live sessions will also include some discussions, which may include discussions of both the live lectures and the recorded lectures. YouTube access for the lectures is available at https://www.youtube.com/playlist?list=PLEUBxKnFNbBApwGH0DJh4PlPmAio_Z_Jw

Our recorded lectures are as follows. The recorded lecture by Voisin is a pre-requisite to her subsequent live lecture, so the audience is encouraged to watch this lecture first.


Our live schedule is as follows. – All times are given in British time, in honor of the originally planned venue for the meeting, as well as in Eastern Daylight Time. (Please refer to a time zone converter if you aren’t sure what time it will be in your time zone).

Timetable

MON 1 JUNE

WED 3 JUNE

FRI 5 JUNE

16:00-17:00 (England)
11:00am-12:00pm (EDT)

Joyce Neitzke Voisin

17:00-18:00 (England)
12:00pm-1:00pm (EDT)

Q&A / Discussion Q&A / Discussion Q&A / Discussion

18:00-19:00 (England)
1:00pm-2:00pm (EDT)

Wisniewski Saccà Szendrői

19:00-20:00 (England)
2:00pm-3:00pm (EDT)

Q&A / Discussion Q&A / Discussion Q&A / Discussion

Speakers:

The links will take you to abstracts, slides of lectures, and/or video recordings of the lectures.


Special Holonomy and Calibrated Geometry, Imperial College, 3-7 June 2019

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

MON 3 JUNE

TUE 4 JUNE

WED 5 JUNE

THU 6 JUNE

FRI 7 JUNE

9:00 -9:30

REGISTRATION

9:30-10:30

Haskins Putrov Donaldson 1 Treumann Donaldson 2

10:30-11:00

Q&A / Discussion Q&A / Discussion Q&A / Discussion Q&A / Discussion Q&A / Discussion

11:00-11:30

COFFEE COFFEE COFFEE COFFEE COFFEE

11:30-12:30

Yng-Ing Lee Imagi Bellettini 1 Zaslow Nordström

12:30-14:00

LUNCH LUNCH LUNCH LUNCH LUNCH

14:00-15:00

Lotay Abouzaid Bellettini 2 Joyce

15:00-15:30

COFFEE COFFEE COFFEE COFFEE

15:30-16:30

Solomon Lekili Discussion Yang Li

16:30-17:00

Q&A / Discussion Q&A / Discussion Discussion Q&A / Discussion

19:00-21:00

SOCIAL DINNER

Speakers:

Special Holonomy and Algebraic Geometry, Imperial College, 7-11 January 2019

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

MON 7 JAN

TUE 8 JAN

WED 9 JAN

THU 10 JAN

FRI 11 JAN

9:00 -9:30

REGISTRATION

9:30-10:30

Morrison 1 Sun 1 Nordström 2 Li 1 Li 2

10:30-11:00

Q&A / Discussion Q&A / Discussion Q&A / Discussion Q&A / Discussion Q&A / Discussion

11:00-11:30

REFRESHMENTS REFRESHMENTS REFRESHMENTS REFRESHMENTS REFRESHMENTS

11:30-12:30

Morrison 2 Nordström 1 Boucksom 2 Sun 2 Del Zotto

12:30-14:00

LUNCH LUNCH LUNCH LUNCH LUNCH

14:00-15:00

Matessi 1 Boucksom 1 Mukai Braun Discussion

15:00-15:30

REFRESHMENTS REFRESHMENTS REFRESHMENTS REFRESHMENTS REFRESHMENTS

15:30-16:30

Gross 1 Gross 2 Matessi 2 Discussion END OF MEETING

18:00-

MEETING DINNER

Speakers:

Progress and Open Problems 2018: September 9-12, 2018, SCGP, Stony Brook

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

Schedule:

SUN 9 SEP

MON 10 SEP

TUES 11 SEP

WED 12 SEP

8:30 -9:30

Breakfast Breakfast Breakfast Breakfast

9:30-10:30

E. Svanes S. Salamon S. Donaldson S. Gukov

10:30-11:00

Coffee/tea Coffee/tea Coffee/tea Coffee/tea

11:00-12:00

T. Walpuski Y. Tanaka Y. Zhang G. Chen

12:00-13:00

Lunch Lunch Lunch Lunch

13:00-14:00

M. Haskins (SCGP Weekly Talk)

13:30

Leave for NYC (from hotel)

14:00-15:00

A. Haydys A. Fino

15:30-16:00

Tea Tea Tea

16:00-17:00

D. Morrison H. Hein M. Upmeier

18:00-20:00

Conference Banquet

Speakers:

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

Geometric Flows and Special Holonomy, Imperial College, 4-8 June 2018

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

MON 4 JUN

TUE 5 JUN

WED 6 JUN

THU 7 JUN

FRI 8 JUN

9:00 -9:30

Registration

9:30-10:30

F. Schulze J. Lotay 1 J. Lotay 2 L. Wang R. Bryant

10:30-11:30

Coffee/tea Coffee/tea Coffee/tea Coffee/tea Coffee/tea

11:30-12:30

A. Waldron 1 D. Joyce A. Waldron 2 P. Pandit 2 S. Donaldson 1

12:30-14:30

Lunch Lunch Lunch Lunch Lunch

14:30-15:30

E. Cabezas-Rivas 1 E. Cabezas-Rivas 2 P. Pandit 1 C. Viana S. Donaldson 2
Huxley 340

15:30-16:00

Coffee/tea Coffee/tea Coffee/tea Coffee/tea Coffee/tea

16:00-17:00

T. Wiseman A. Fino Free discussion C.-J. Tsai Meeting ends

19:00

Meeting dinner

Speakers:

Structure of Collapsed Special Holonomy Spaces, Duke University, 9-13 April 2018

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

MON 9 APR

TUE 10 APR

WED 11 APR

THU 12 APR

FRI 13 APR

8:00 -9:00

Breakfast Breakfast Breakfast Breakfast Breakfast

9:00-10:00

R. Zhang J. Cheeger X. Rong R. Zhang D. Morrison

10:00-10:15

Q+A Q+A Q+A Q+A Q+A

10:15-11:00

Coffee Coffee Coffee Coffee Coffee

11:00-12:00

Y. Zhang R. Mazzeo R. Mazzeo Y. Li Y. Li

12:00-2:00

Lunch/Discussion Lunch/Discussion Lunch/Discussion Lunch/Discussion Lunch/Discussion

2:00-3:00

G. Wei G. Chen L. Foscolo M. Haskins S. Salamon

3:00-3:30

Coffee Coffee Coffee Coffee Coffee

3:30-4:30

R. Zhang Y. Zhang J. Viaclovsky Discussion

7:00-9:00

Conference banquet

Speakers:

 

Gauge Theory and Special Holonomy, Imperial College, January 8-12, 2018

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

MON 8 JAN

TUE 9 JAN

WED 10 JAN

THU 11 JAN

FRI 12 JAN

9.00 -9.30

Registration

9.30-10.30

Walpuski  Joyce Haydys Weiß
(Huxley 340)
Li
(Huxley 340)

10.30-11.00

Q+A Q+A Q+A Q+A Q+A

11.00-11.30

Coffee Coffee Coffee Coffee Coffee

11.30-12.30

Thomas Walpuski Thomas He
(Huxley 340)
Acharya
(Huxley 340)

12.30-2.00

Lunch Lunch Lunch Lunch Lunch

2.00-3.00

Sibley Doan Toma Cherkis
(Huxley 139)
Nordström
(Huxley 340)

3.00-3.30

Coffee Coffee Coffee Coffee Coffee

3.30-4.30

de la Ossa Discussion Svanes Discussion
(Huxley 139)
Chen
(Huxley 340)

7.00-9.00

Social dinner

Speakers:

 

G2 Working Group at the Aspen Center for Physics

The Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics sponsored a G2 working group at the Aspen Center for Physics from August 7 through August 25, 2017.  The working group was attended by Andreas Braun (Oxford), Michele Del Zotto (SCGP), Jim Halverson (Northeastern), Magdalena Larfors (Uppsala), Dave Morrison (UC Santa Barbara), and Sakura Schafer-Nameki (Oxford).

The topics discussed included:

  1. gauge theory on G2 manifolds and G2 compactifications of the heterotic string
  2. singular fibers of SYZ fibrations of Calabi-Yau threefolds and what they might correspond to in K3-fibered G2 manifolds
  3. the structure of the gauge degrees of freedom in G2 compactifications, including BPS equations and Higgs bundle as function of the associative three-manifold base
  4. G2 compactifications of M-theory possesing both F-theory and heterotic duals, in particular the various moduli of such models including the role of the D3-branes from the F-theory realization.

Research papers which result from this activity will be included in the publication list on this website.  Stay tuned!

First Annual Meeting: September 14-15, 2017, Simons Foundation, New York City

Arrival date: Wednesday, September 13. Departure date : Friday afternoon, September 15, or Saturday, September 16. This conference will run from Thursday morning through Friday lunch.

Spaces with special holonomy are of intrinsic interest in both mathematics and mathematical physics; they appear in many contexts in Riemannian geometry, particularly Ricci-flat and Einstein geometry, minimal submanifold theory and the theory of calibrations, and gauge theory. The exceptional cases, which occur in dimensions 7 and 8, remain the most challenging and the least understood. Nevertheless, they share important features with the better-known case of SU(n) holonomy, where the three types of structures are known as Calabi-Yau spaces, Hermitian Yang–Mills connections, and special Lagrangian and complex submanifolds. The exceptional holonomy spaces play key roles in the study of fundamental physical theories such as M-theory and F-theory (generalizing the role that Calabi-Yau 3-folds play in string theory), and progress in these theories depends crucially on a better understanding of spaces (especially singular ones) with exceptional holonomy.

The Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics will hold its first Annual Meeting at the Simons Foundation on September 14 & 15, 2017. Four of its principal investigators and four of its postdoctoral fellows will present reports on the most recent developments in various aspects of the field of special holonomy, including the study of adiabatic limits, moduli problems, collapse, gluing constructions using methods from algebraic geometry, and connections with physics. They will discuss their research progress during the first year of the collaboration and the current directions of research

The speakers are:

  • Andreas Braun (Oxford)
  • Sir Simon Donaldson (Imperial College and SCGP)
  • Andriy Haydys (Freiberg)
  • Mark Haskins (Bath)
  • Dominic Joyce (Oxford)
  • Eirik Svanes (King’s College London)
  • David R. Morrison (UC Santa Barbara)
  • Yuguang Zhang (Imperial College London)