An afternoon workshop for women in Geometry in the UK
Imperial College London
December 9, 2022
About:
The meeting will consist of 3 talks in different areas of geometry. The talks will be accessible to a general audience in geometry. Everybody is welcome to attend the workshop.
We expect to start at 1 pm. After the talks, we will have an informal discussion session to share our experiences. It will be followed by a simple catered dinner from 5:30 pm to 7 pm.
Schedule:
All talks take place in room 139 Huxley Building (180 Queen's Gate). Coffee break and dinner will be in the 5th-floor common room in Huxley Building.
1 pm - 2 pm Frances Kirwan
2 pm - 2:30 pm coffee break
2:30 pm - 3:30 pm Cristina Manolache
3:40 pm - 4:40 pm Susan Sierra
4:40 pm - 5:30 pm discussion session
5:30 pm - 7:30 pm dinner
Conference speakers and abstracts:
Frances Kirwan (University of Oxford)
Title: Higher quivers and their representations
Abstract: This talk will recall some of the theory of quiver representations, and then describe ongoing work with Vidit Nanda on the concepts of higher quivers (especially 2-quivers) and their representations.
Cristina Manolache (University of Sheffield)
Title: Derived push-forwards
Abstract: Modern calculations in enumerative geometry often take place in a moduli space which is singular and has several components of different dimensions. I will explain why derived algebraic geometry provides a good framework for such calculations. I will present the derived push-forward between the moduli spaces of stable maps to moduli spaces of qasi-maps to projective spaces.
Susan Sierra (University of Edinburgh)
Title: Birational transformations of noncommutative rational surfaces
Abstract: One way to construct a noncommutative analogue of a geometric object such as a curve or a surface is to look for a category which has similar properties to the category of coherent sheaves on a projective variety. If one defines a noncommutative curve or surface in this way, it turns out that all curves are actually commutative, but new noncommutative surfaces do arise.
In the 1990s, Artin, Tate, and Van den Bergh famously used this philosophy to classify all noncommutative analogues of P^2. It turns out that these ``surfaces'' have birational geometry which mimics classical commutative geometry: one can blow up points, contract (-1) curves, and even show that the six-point blowup of a noncommutative P^2 is a cubic surface in a noncommutative P^3. This talk will survey the area, focussing on these noncommutative rational surfaces.
Registration:
Please email the organisers to register for the workshop.
Travel Claims:
To claim reimbursement for travel expenses, please download and complete the form (leaving the "Financial Codes" column blank). Note that the link will download the form in Excel (.xlsx) format; if possible, the form should be completed and returned in the same format.
Scan the receipts for all expenses being claimed and email them together with the completed form to Anne-Sophie Kaloghiros (anne-sophie.kaloghiros (at) brunel.ac.uk). Please retain your original receipts until you have been reimbursed.
Organisers:
Soheyla Feyzbakhsh (s.feyzbakhsh@imperial.ac.uk)
Anne-Sophie Kaloghiros (anne-sophie.kaloghiros@brunel.ac.uk)