Arrival date: Sunday, March 12.
Departure date: Friday, March 17.

All times are PDT. Organizers are Bobby Acharya (ICTP & King’s College London), Max Hübner (University of Pennsylvania), Dave Morrison (UCSB), and Sakura Schafer-Nameki (Oxford).

The meeting will cover several topics: generalized symmetries (Monday and Tuesday), physics and special holonomy (Wednesday and Thursday), summary and future vision (Friday).

All talks are held in the Fred Kavli Auditorium.

Remote participants who would like to join via Zoom should please register at https://ucsb.zoom.us/meeting/register/tZIsc-2sqDkvH9D1ZSdjuqeLNhaFpAVsR7dq.

In-person participants are staying at the Best Western South Coast Inn (BWSCI), and KITP is running a shuttle between the hotel and the conference venue.

Schedule:

	MON 13 MAR	TUE 14 MAR	WED 15 MAR	THUR 16 MAR	FRI 17 MAR
8:50-9:00	L. Bildsten (welcome to KITP)
Morning Session Chair	Dave Morrison	Max Hübner	Mark Haskins	Jason Lotay	Robert Bryant
9:00-9:45	C. Teleman	F. Bonetti	L. Foscolo	T. Collins	D. Joyce (via Zoom)
9:45-10:30					T. Walpuski (via Zoom)
10:30-11:00	Morning Break	Morning Break	Morning Break	Morning Break	Morning Break
11:00-11:45	L. Bhardwaj	L. Lin	A. Braun	S. Habibi Esfahani	B. Acharya
11:45-12:30					M. Haskins
12:30-14:00	Lunch Break	Lunch Break	Lunch Break	Lunch Break	Lunch Break
Afternoon Session Chair	Sakura Shafer-Nameki	Bobby Acharya	Thibault Langlais	Simon Salamon
14:00-15:30	F. Apruzzi	Y. Tanaka	M. Hübner	S. Sun	(Shuttle)
15:30-16:00	Afternoon Break	Afternoon Break	Afternoon Break	Afternoon Break
16:00-17:30	Discussion	Discussion	J. Wu	J. Lotay
17:30-18:00	(Shuttle to BWSCI)	Reception	(Shuttle to BWSCI)	Reception
18:00-20:00		Dinner		Dinner

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Speakers:

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

• Bobby Acharya (ICTP & King’s College London), Progress and open problems in the physics of special holonomy spaces
• Fabio Apruzzi (Padua University), Generalized symmetries from string theory
• Lakshya Bhardwaj (Oxford University), Overview of Generalized Symmetries
• Federico Bonetti (Durham University),  SymTFTs, Differential Cohomology, and Geometric Engineering
• Andreas Braun (Durham University), Geometrizing Domain Walls in 5D SCFTs
• Tristan Collins (MIT), Some aspects of Sasaki-Einstein geometry and AdS/CFT
• Lorenzo Foscolo (University College London), Hypertoric varieties, W-Hilbert schemes and Coulomb branches
• Saman Habibi Esfahani (Duke University), Towards a Monopole Fueter Floer Homology 
• Mark Haskins (Duke University), Progress and open problems in the construction of G2 holonomy metrics
• Max Hübner (University of Pennsylvania),  Living on the Edge: Interfaces of SCFTs with G₂-Orbifolds
• Dominic Joyce (Oxford University), Enumerative invariants: what we did, and where to go next
• Ling Lin (Oxford University), K3s at the intersection of Special Holonomy, Generalized Symmetries, and the Swampland
• Jason Lotay (Oxford University), Geometric flows and special holonomy: past, present and future
• Song Sun (UC Berkeley), Singularity formations in Kahler geometry
• Yuuji Tanaka (Kyoto University), A blowup formula for sheaf-theoretic virtual enumerative invariants on projective surfaces and its applications
• Constantin Teleman (UC Berkeley), Introduction to topological symmetries and higher groups
• Thomas Walpuski (Humboldt Universität zu Berlin), Progress and open problems around associative submanifolds
• Jingxiang Wu (Oxford University), 3-manifolds and modular tensor categories

Arrival date: Sunday, January 8.
Departure date: Friday, January 13, or Saturday, January 14.

All times are BST. Organizers: Dominic Joyce, Jason Lotay, Sakura Schafer-Nameki (Oxford University).

The meeting will cover several topics: some differential geometry and gauge theory, some material on enumerative invariants including Virasoro relations and invariants counting coherent sheaves on Calabi-Yau 4-folds, and a strand on the Swampland Conjectures from String Theory. The conference will happen simultaneously, in the next door lecture theatre, to the ADK60 conference on ‘Quivers, Clusters, Moduli and Stability’ https://www.cantab.net/users/t.logvinenko/2023-qcms/index.html, in honour of the 60th birthday of Alastair King. Attendees at either conference are welcome to go to the talks at the other (but not to steal each others’ biscuits). Five talks will be joint between both conferences. As a result, this Simons meeting will have more of an emphasis on Algebraic Geometry than usual.

Practical arrangements:

• The conference will take place in Lecture Theatre 3 of the basement of the Mathematical Institute, Andrew Wiles Building, Radcliffe Observatory Quarter, Oxford, OX2 6GG, except for the lectures on Tuesday and the first lecture on Wednesday, which will happen in Lecture Theatre 2. See https://www.maths.ox.ac.uk/about-us/travel-maps for how to get here.
• Invited participants will be housed in the Linton Lodge Hotel, see https://www.bestwestern.co.uk/hotels/linton-lodge-hotel-bw-signature-collection-83647.
• Invited participants should arrange their own travel to Oxford, and claim (reasonable) travel costs back from the conference afterwards. Please keep all receipts if you intend to make a claim.
• The most convenient airport for Oxford is London Heathrow. A good way to get to and from the airport is to use a bus service called the Oxford Airline, see https://www.theairlineoxford.co.uk/. You can buy tickets on the bus – no need to do this in advance – and it is much cheaper to buy a ‘period return’ ticket rather than two single tickets. It is also possible to do the journey by train (go via the Elizabeth line), provided the trains are not on strike and have not melted down (e.g. wrong kind of rain, leaf on line).
• It is an easy walk to the Maths Institute from all of Linton Lodge, the bus station, and the train station.
• There is a cafe in the basement of the Mathematical Institute where you can buy your own lunch. There are also plenty of local shops and restaurants.
• Academics and PhD students at the Oxford Mathematical Institute or Physics department are welcome to attend the conference talks, no need to ask the organizers. Attendees at the ADK60 conference are also welcome to attend the conference talks.
• The conference is primarily an activity of the Simons Collaboration on Special Holonomy in Geometry, Analysis and Physics, https://sites.duke.edu/scshgap/, put on for the benefit of its members, and is not an open invitation conference. We do not have funding for inviting non-collaboration members, except invited speakers.
• Non-Oxford people who have not been invited to the conference, but would like to attend, should contact the organizers. We are not offering funding for this, nor to arrange travel or accommodation, this would be your problem. One limiting factor is the capacity of the lecture theatre.

You can download a pdf of the schedule, or use the version below.

Schedule (including links to streaming video):

	MON 9 JAN	TUE 10 JAN	WED 11 JAN	THU 12 JAN	FRI 13 JAN
9:30-10:00	J. Nordstrom and M. Turner (room L3) streaming			T. Langlais (room L3) streaming	J. Streets (room L3) streaming
10:00-11:00		D. Joyce (room L2) streaming	K. Wendland (room L2) streaming
11:00-11:30	tea break	tea break	tea break	tea break	tea break
11:30-12:30	G. Ball (room L3) streaming	R. Thomas (room L2) streaming	A. Bojko (room L3) streaming	T. Grimm (room L3) streaming	Geometric flows discussion (led by Jason Lotay) in room L3 streaming
12:30-1:00	lunch	lunch	lunch	lunch	lunch, further discussions, and departure
1:00-2:00
2:00-2:15	V. Hoskins (room L3) streaming		W. Lim and M. Moreira (room L3) streaming	T. Weigand (room L3) streaming
2:15-3:00		L. Alvarez-Consul (room L2) streaming
3:00-3:15	TBA (room L3) streaming			tea break
3:15-3:30		tea break
3:30-3:45			tea break	Swampland discussion (led by Bobby Acharya) in room L3 streaming
3:45-4:00		O. Garcia-Prada (room L2) streaming
4:00-4:30	tea break		B. Pioline (room L3) streaming
4:30-4:45	Differential geometry and gauge theory discussion (led by Thomas Walpuski) in room L3 streaming
4:45-5:00		break
5:00-5:30		T. Bridgeland (room L2) streaming
5:30-6:00
evening			Conference dinner, Balliol College (by invitation only): 7:15 Drinks reception, 8:00 dinner

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Speakers:

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

• Luis Alvarez Consul (Madrid), joint with ADK60, Embedding superconformal vertex algebras from Killing spinors and (0,2) mirror symmetry
• Gavin Ball (Wisconsin), Associative submanifolds of squashed 3-Sasakian manifolds
• Arkadij Bojko (ETH Zurich), Wall-crossing for Calabi-Yau fourfolds and applications
• Tom Bridgeland (Sheffield), joint with ADK60, Clusters and twistors
• Oscar Garcia-Prada (Madrid), joint with ADK60, Vinberg pairs and Higgs bundles
• Thomas Grimm (Utrecht), Quantum gravity conjectures and asymptotic Hodge theory
• Victoria Hoskins (Radboud), Motivic mirror symmetry for Higgs bundles
• Dominic Joyce (Oxford), joint with ADK60, The structure of invariants counting coherent sheaves on complex surfaces
• Thibault Langlais (Oxford), An introduction to some aspects of the swampland distance conjectures
• Woonam Lim (ETH Zurich), Virasoro constraints; history and moduli of sheaves
• Miguel Moreira (ETH Zurich), Virasoro constraints: vertex algebras and wall-crossing
• Johannes Nordström (Bath) & Matt Turner (Bath), Examples of asymptotically conical G2-instanstons
• Boris Pioline (Paris), Modularity of BPS indices on Calabi-Yau threefolds
• Jeff Streets (UC Irvine), The generalized Kahler Calabi-Yau problem
• Richard Thomas (Imperial), joint with ADK60, CY4 quiver representations
• Timo Weigand (Hamburg), Tower Counting for the Weak Gravity Conjecture
• Katrin Wendland (Trinity College Dublin), An application of folding ADE to BCFG

Arrival date: Saturday, September 10.
Departure date: Wednesday afternoon, September 14, or Thursday, September 15.

All times are EDT. Organizer is Robert Bryant (Duke University).

Schedule:

	SUN 11 SEP	MON 12 SEP	TUES 13 SEP	WED 14 SEP
9:30-10:30	S. Goette	H. Liu	G. Bera	J. Tian
11:00-12:00	A. Kennon	I. Alonso	M. Hübner	Wrap-up session
13:15-14:15			G. Parker (SCGP Weekly Talk)
14:30-15:30	D. Baldwin	F. Trinca	L. Lin
16:00-17:00	D. Platt	Y. Li
16:30-17:30			J. Lotay  (Joint with Stony Brook Geometry)

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Speakers:

• Izar Alonso (Oxford University), Heterotic systems, balanced SU(3)-structures and coclosed G₂-structures in cohomogeneity one manifolds
• Daniel Baldwin (King’s College London), On the physics of Joyce-Karigiannis manifolds
• Gorapada Bera (Humbolt University of Berlin),  Deformations and gluing of asymptotically cylindrical associatives
• Sebastian Goette (University of Freiburg), Some examples of extra twisted connected sum G₂ manifolds
• Max Hübner (University of Pennsylvania),  Generalized Symmetries and Compact Models
• Aaron Kennon (University of California, Santa Barbara), Geometric Flows of 3-Sasakian Structures
• Yang Li (MIT), An informal discussion on progress on the Thomas-Yau Conjecture
• Ling Lin (CERN), Gravity, geometry and generalized symmetries
• Henry Liu (Oxford University), Multiplicative vertex algebras and wall-crossing in equivariant K-theory
• Jason Lotay (Oxford University), Neck pinches in Lagrangian mean curvature flow
• Greg Parker (MIT), Gluing Z₂-Harmonic Spinors
• Daniel Platt (King’s College London), Associatives in the generalised Kummer construction
• Jiahua Tian (ICTP), 5D SCFTs from C³ Orbifolds
• Federico Trinca (Oxford University), T²-invariant associatives in G₂ manifolds with cohomogeneity-two symmetry

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

The collaboration will hold a meeting at Freiburg University (Freiburg i. Brsg., Germany) on June 6-10 2022, entitled “Geometry, Topology and Singular Special Holonomy Spaces”

Scientific Organizers:
Sebastian Goette, Mark Haskins, and Thomas Walpuski.

All talks will take place in Lecture Hall HS II in the Geology Building,
Albertstr. 23b.

The Reception and the coffee breaks will take place in the “Sozialraum” 331 of the Maths Institute,
Ernst-Zermelo-Str. 1, 3rd floor.

A map can be found here; HS II is in building no 13, the Math Institute is in building no 2 on that map.

Timetable

	MON 6 JUNE	TUE 7 JUNE	WED 8 JUNE	THU 9 JUNE	FRI 10 JUNE
9:00 (CEST)	Reception	Alec Payne/Ilyas Kahn	Jonathan Heckman/Ethan Torres	Johannes Nordström I	Diarmuid Crowley (remote)
10:30 (CEST)	Hans-Joachim Hein	Coffee	Coffee	Coffee	Coffee
11:30 (CEST)		Hongyi Liu	Mirjam Cvetic/Max Hübner	Anna Fino	Johannes Nordström II
12:00 (CEST)	Lunch Break
13:00 (CEST)		Lunch Break	END	Lunch Break	END
14:00 (CEST)	Chris Scaduto (remote)
15:00 (CEST)		Yang Li I (remote)		Yang Li II (remote)
15:30 (CEST)	Coffee
16:30 (CEST)	Rafe Mazzeo (remote)	END		END
18:00 (CEST)	END

Speakers:

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

• Diarmuid Crowley (University of Melbourne), A prolegomena to finding higher homotopy in G_2-moduli spaces
• Mirjam Cvetic (University of Pennsylvania) Intro and
  Max Hübner (University of Pennsylvania) Main Talk, Getting High on Gluing Orbifolds (Part II).
• Anna Fino (University of Torino), An overview on closed G_2-structures
• Jonathan Heckman (University of Pennsylvania) Intro and
  Ethan Torres (University of Pennsylvania) Main Talk, Getting High on Gluing Orbifolds.
• Hans-Joachim Hein (Universität Münster), Asymptotically conical Calabi-Yau manifolds
• Ilyas Kahn (Oxford University), Uniqueness of Asymptotically Conical Gradient Shrinking Solitons in G2-Laplacian Flow
• Yang Li (Massachusetts Institute of Technology), A further update of the Thomas-Yau conjecture
• Hongyi Liu (University of California at Berkeley), A compactness theorem for hyperkahler 4 manifolds with boundary
• Rafe Mazzeo (Stanford University), An approach to analysis on stratified spaces, with a view toward
  spectral invariants>
• Johannes Nordström (University of Bath), Lecture I: Topology of extra-twisted connected sum G_2-manifolds;
  Lecture II: Rational homotopy theory of closed 7- and 8-manifolds
• Alec Payne (Duke University), Uniqueness of Asymptotically Conical Gradient Shrinking Solitons in G2-Laplacian Flow
• Chris Scaduto (University of Miami), Computing \nu-invariants of Joyce’s G_2-manifolds

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The collaboration will hold a virtual meeting on January 10-14 2022, entitled “Connections between String Theory and Special Holonomy” (originally scheduled to be held at the Mathematical Institute, Oxford University, Oxford, UK)

Scientific Organizers:
Dominic Joyce, Jason Lotay, and Sakura Schafer-Nameki.

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Summary:
The programme will have three strands:

• Enumerative invariants in algebraic and differential geometry.
• 3d Coulomb branches and hyper-Kähler geometry.
• Differential geometry related to special holonomy.

One of our goals is to promote understanding between mathematicians and physicists, so where relevant we will aim to have talks by mathematicians intended to be understood by physicists, and vice versa, with some coordination between the mathematics and physics talks.

Timetable

	MON 10 JANUARY	TUE 11 JANUARY	WED 12 JANUARY	THU 13 JANUARY	FRI 14 JANUARY
12:00-13:00 (GMT) 7:00-8:00 (EST)	Nakajima
14:00-15:00 (GMT) 9:00-10:00 (EST)	Bourget	Chiu	Oh	Kontsevich
15:15-16:15 (GMT) 10:15-11:15 (EST)	Kirwan	Bullimore	Manschot	Aslan	Singhal
17:00-18:00 (GMT) 12:00-13:00 (EST)	Dancer	Closset	Kool	Thomas	Foscolo
19:00-20:00 (GMT) 14:00-15:00 (EST)		Schulze	Nekrasov		Streets

Speakers:

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

• Benjamin Aslan (UCL), Transverse J-holomorpic curves in nearly Kähler CP^3
• Antoine Bourget (ENS/Saclay), Magnetic quivers for singular hyperKähler spaces
• Mathew Bullimore (Durham), Moduli Stacks and Global Categorical Symmetry
• Shih-Kai Chiu (Oxford), Rigidity of Calabi-Yau metrics with maximal volume growth
  
• Cyril Closset (Birmingham), On SCFTs at canonical singularities
• Andrew Dancer (Oxford). Hyperkahler implosions and symplectic duality
  
• Lorenzo Foscolo (UCL), Examples of non-compact G2 manifolds
  
• Frances Kirwan (Oxford), Hyperkahler implosion
  
• Maxim Kontsevich (IHES), Enumerative invariants and not so special holonomy
• Martijn Kool (Utrecht), Counting surfaces on Calabi-Yau fourfolds
  
• Jan Manschot (TC Dublin), Topological correlators of N=2* Yang-Mills theory
  
• Hiraku Nakajima (Kavli IPMU), Symmetric bow varieties
  
• Nikita Nekrasov (SCGP), Some progress in unification of enumerative and differential geometry and quantization(s)
  
• Jihwan Oh (Oxford), G2 instantons in twisted M-theory
  
• Felix Schulze (Warwick), Progress in singularity analysis for Lagrangian mean curvature flow in Calabi-Yau 2-folds
  
• Ragini Singhal (King’s), Deformations of G2-instantons on nearly G2 manifolds
  
• Jeffrey Streets (UC Irvine), Singular sets of generalized Einstein metrics
  
• Richard Thomas (Imperial), Higher rank DT theory from rank 1
  

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Arrival date: Saturday, September 11.
Departure date: Wednesday afternoon, September 15, or Thursday, September 16.

All times are EDT. Organizer is Mark Haskins (Duke University).

Schedule:

	SUN 12 SEP	MON 13 SEP	TUES 14 SEP	WED 15 SEP
9:30-10:30	J. Heckman	J. Wu	Z. Liu	D. Platt
11:00-12:00	G.Ball	F. Lehmann	S. He	Wrap-up session
13:00-14:00			Y. Li (SCGP Weekly Talk)
14:00-15:00	S. Sun	M. Hubner	X. Chen
16:00-17:00	T. Collins	Open problems discussion	T. Walpuski  (Joint with Stony Brook Geometry)

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Speakers:

• Gavin Ball (University of Wisconsin, Madison), Associative submanifolds of the Berger space
• Xuemaio Chen (University of Maryland),  Compactness for Ω-Yang-Mills connections
• Tristan Collins (MIT), Calabi-Yau manifolds through conifold transitions
• Siqi He (Stony Brook),  The branched deformations of special Lagrangian submanifolds
• Jonathan Heckman (University of Pennsylvania), Quantum Reflections in 3D QFTs and their Local Spin(7) Counterparts
• Max Hübner (University of Pennsylvania), Higgs Bundles for G2 Manifolds and Brane/Particle Probes
• Fabian Lehmann (Stony Brook), Non-compact Spin(7)-manifolds
• Yang Li (MIT), SYZ conjecture and non-archimedean geometry
• Zhenhua Liu (Princeton University), Every finite graph arises as the singular set of a compact 3-d calibrated area minimizing submanifold
• Daniel Platt (Imperial College, London), New estimates for G2-structures on resolutions of orbifolds
• Song Sun (UC Berkeley), Collapsing geometry of 4 dimensional hyperkahler manifolds, Part 2
• Thomas Walpuski (Humboldt University of Berlin), The Gopakumar-Vafa finiteness conjecture
• Jingxiang Wu (Perimeter Institute/Oxford University), Kondo line defect and affine oper/Gaudin correspondence

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