LAGOON: Longitudinal Algebra and Geometry Open ONline

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LAGOON: Longitudinal Algebra and Geometry Open ONline

 Oct 21 2021

12:00 - 13:00

Organisers:

Click here to view the LAGOON Home Page

The LAGOON webinar series has a strong focus on Representation Theory and Algebraic Geometry and their many interactions covering topics such as homological mirror symmetry, stability conditions, derived categories, dg-categories, Hochschild cohomology of algebras, moduli spaces and algebraic stacks, derived algebraic geometry and other topics.

These seminars take place on Thursday at 12:00-13:00 (BST)

Register Here

You will be sent a link to the Zoom meeting link 24 hours in advance.

These seminars are recorded, please click here to view the playlist

 

Next Seminar


21 October
Xiao-Wu Chen (Hefei, China): The dg Leavitt path algebra, singular Yonda category and singularity category
We prove that, for any finite dimensional algebra given by a quiver with relations, its dg singularity category is quasi-equivalent to the perfect dg derived category of the dg Leavitt path algebra of its radical quiver. This result might be viewed as a deformation of the known description of the dg singularity category of a radical-square-zero algebra in terms of a Leavitt path algebra. The main ingredient is a new dg enhancement of the singularity category, namely the singular Yoneda dg category, which is obtained by a new strict dg localization inverting a natural transformation. This is joint with Zhengfang Wang.


Future Seminars


28 October
Amnon Neeman (ANU, Australia): Finite approximations as a tool for studying triangulated categories
A metric on a category assigns lengths to morphisms, with the triangle inequality holding. This notion goes back to a 1974 article by Lawvere. We'll begin with a quick review of some basic constructions, like forming the Cauchy completion of a category with respect to a metric.

And then will begin a string of surprising new results. It turns out that, in a triangulated category with a metric, there is a reasonable notion of Fourier series, and an approximable triangulated category can be thought of as a category where many objects are the limits of their Fourier expansions. And then come two types of theorems: (1) theorems providing examples, meaning showing that some category you might naturally want to look at is approximable, and (2) general structure theorems about approximable triangulated categories.

And what makes it all interesting is (3) applications. These turn out to include the proof of a conjecture by Bondal and Van den Bergh, a major generalization of a theorem of Rouquier's, and a short, sweet proof of Serre's GAGA theorem.

 

4 November - Véronique Bazier-Matte (UConn, USA): Triangulations of the Möbius strip and its connections with quasi-cluster algebras

11 November - Bruno Vallette (Université Sorbonne Paris Nord, France)

18 November - Tobias Dyckerhoff (Hamburg, Germany)

25 November - Marcy Robertson (Melbourne, Australia)

2 December - speaker to be announced

9 December - speaker to be announced

 

Previous Seminars

14 May 2020

Hipolito Treffinger (University of Leicester): Representation theoretic aspects of scattering diagrams

  • No recording available

 

21 May 2020

Alex Takeda (IHES, France): Gluing relative stability conditions along pushouts

 

28 May 2020

Bernhard Keller (Université Paris Diderot - Paris 7, France): Grassmannian braiding categorified

 

4 June 2020

Balazs Szendroi (University of Oxford, UK): Hilbert schemes of points on singular surfaces: combinatorics, geometry, and representation theory

 

11 June, 2020

Qiu Yu (Tsinghua University Beijing, China) - Graded decorated marked surfaces: Calabi-Yau-X categories of gentle algebras

 

18 June 2020

Lara Bossinger (Instituto de Matemáticas UNAM Unidad, Mexico): Families of Gröbner degenerations

 

25 June 2020

Wendy Lowen (University of Antwerp, Belgium): linear quasi-categories as templicial modules (joint work with Arne Mertens)

 

2 July 2020

Hiraku Nakajima (Kavli IPMU, Tokyo, Japan): Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras

 

9 July 2020

Alexander Polishchuk (University of Oregon, USA): Geometry of the Associative Yang-Baxter equation

 

16 July 2020

Markus Reineke (Universität Bochum, Germany): Fano quiver moduli

 

23 July 2020

Laura Schaposnik (University of Illinois at Chicago, USA): On Generalized Hyperpolygons

 

03 September 2020

Andrea Solotar (Buenos Aires, Argentina): A cup-cap duality in Koszul calculus

 

10 September 2020

Zhengfang Wang (Stuttgart, Germany): Deformations of path algebras of quivers with relations

 

24 September 2020

Ailsa Keating (Cambridge, UK): Homological mirror symmetry for log Calabi-Yau surfaces

 

01 October 2020

Karin Baur (Leeds, UK and Graz, Austria): Structure of Grassmannian cluster categories


8 October 2020

Andrey Lazarev (Lancaster, UK): Koszul duality for dg-categories and infinity-categories (joint with J. Holstein)

 

15 October 2020

Fabrizio Catanese (Bayreuth, Germany): Topologically trivial automorphisms of compact Kähler surfaces and manifolds

22 October 2020

Lang Mou (HMI Bonn, Germany): Caldero-Chapoton formulas for generalized cluster algebras from orbifolds

 

29 October 2020

Michael Wemyss (Glasgow, UK): Contraction algebras, plumbings and flops

 

5 November 2020

Yukinobu Toda (Kavli IPMU, Tokyo, Japan): On d-critical birational geometry and categorical DT theories

 

12 November 2020

Amihay Hanany (Imperial, UK): Coulomb branch

 

19 November 2020

John Greenlees (Warwick, UK): The singularity category of C^*(BG)

 

26 November 2020

Evgeny Shinder (Sheffield, UK): Birationality centers, rationality problems and Cremona groups

 

3 December 2020

Giulia Saccà (Collège de France and Columbia University, USA): Hodge numbers of OG10 via Ngô strings

 

10 December 2020

Ralph Kaufmann (Purdue, USA): Categorical Interactions in Algebra, Geometry and Representation Theory

 

28 January 2021

Dan Kaplan (Birmingham, UK): Multiplicative preprojective algebras in geometry and topology


4 February

Merlin Christ (Hamburg, Germany): A gluing construction for Ginzburg algebras of triangulate

 

11 February

Bertrand Toën (Toulouse, France): Foliations on schemes

 

18 February

Paolo Stellari (Milano, Italy): Uniqueness of enhancements for derived and geometric categories


25 February

Claudia Scheimbauer (TU München, Germany): Derived symplectic geometry and AKSZ topological field theories

  • Permission to publish recording has not been given.


4 March
Sebastian Opper
, Prague, Czech Republic - Spherical Objects on Cycles of Projective Lines and Transitivity

11 March

Alexandra Zvonareva, Stuttgart, Germany - Derived equivalence classification of Brauer graph algebras


Letterio Gatto, Polytechnic University of Turin - HiDEAs to work with

 
1 April
Easter Break - no seminar

8 April
Easter Break - no seminar

15 April
Valery Lunts, Indiana, USA


22 April
Severin Barmeier, Freiburg, Germany: Scattering amplitudes from derived categories and cluster categories

 
29 April
Okke van Garderen (Glasgow, UK): On the Landau-Ginzburg/conformal field theory correspondence


6 May
Ana Ros Camacho (Cardiff, UK): On the Landau-Ginzburg/conformal field theory correspondence


13 May
Matt Booth (Antwerp, Belgium): Topological Hochschild cohomology for schemes


20 May      
Sergey Mozgovoy (Trinity College Dublin, Ireland) DT invariants of some 3CY quotients


3 June
Markus Szymik (NTNU Trondheim, Norway): A homological stroll into the algebraic theories of racks and quandles

  • Talk not recorded



10 June

Fabian Haiden (Oxford, UK) - New 3CY categories of topological surfaces

  • Video recording will be available soon



17 June
David Pauksztello (Lancaster, UK) - Functorially finite hearts, simple-minded systems and negative cluster categories

  • Video recording will be available soon


24 June
Yilin Wu - (Université Paris Diderot - Paris 7, France) Derived equivalences from mutations of ice quivers with potential

  • Video recording will be available soon


1 July
Chelsea Walton (Rice, USA): Frobenius algebras galore

 

 7 October
Pedro Tamaroff (Leipzig, Germany): Minimal models for monomial algebras

 
14 October
Shunsuke Kano (Tohoku, Japan): Categorical dynamical systems arising from sign-stable mutation loops

 

Zoom is the online platform being used to deliver this seminar series.

This seminar series is supported as part of the ICMS Online Mathematical Sciences Seminars.