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EDGE: Elena Denisova (Edinburgh) - Delta-invariants of Du Val del Pezzo surfaces
EDGE: Elena Denisova (Edinburgh) - Delta-invariants of Du Val del Pezzo surfaces
October 9, 2024 10:50 am - 11:50 am
Bayes 5.46
It is known that a Fano variety with “mild” singularities admits a Kahler Einstein metric if and only if it is K-polystable. For two-dimensional Fano varieties (del Pezzo surfaces) Tian and Yau proved that a smooth del Pezzo surface is K-polystable if and only if it is not a blow up of P2 in one or two points. A… See more details
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EDGE Seminar: Naoki Koseki (Liverpool) - Gopakumar-Vafa invariants of local curves
EDGE Seminar: Naoki Koseki (Liverpool) - Gopakumar-Vafa invariants of local curves
October 16, 2024 10:50 am - 11:50 am
Title: Gopakumar-Vafa invariants of local curves
Abstract: In the 1990s, two physicists, Gopakumar and Vafa, proposed an ideal way to count curves in a Calabi-Yau threefold, which is conjecturally equivalent to other curve counting theories such as Gromov-Witten theory. It is very recent that Maulik and Toda gave a mathematically rigorous definition of GV invariants. In this talk,… See more details
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EDGE Seminar: Jungkai Chen (Taipei) - Introduction to classification of threefolds of general type.
EDGE Seminar: Jungkai Chen (Taipei) - Introduction to classification of threefolds of general type.
October 23, 2024 10:50 am - 11:50 am
In higher dimensional algebraic geometry, the following three types of varieties are considered to be the building blocks: Fano varities, Calabi-Yau varieties, and varieties of general type. In the study of varieties of general type, one usually works on "good models" inside birtationally equivalent classes. Minimal models and canonical models are natural choices of good models.
In the… See more details
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EDGE Seminar: Nick Proudfoot (University of Oregon) - Positivity theorems for hyperplane arrangements via intersection theory
EDGE Seminar: Nick Proudfoot (University of Oregon) - Positivity theorems for hyperplane arrangements via intersection theory
October 30, 2024 10:50 am - 11:50 am
Abstract: I will discuss three recent combinatorial theorems about hyperplane arrangements: the top-heavy conjecture, log concavity of the characteristic polynomial, and non-negativity of the Kazhdan-Lusztig polynomial. Each of these results is proved by studying the cohomology of a projective algebraic variety associated with the arrangement.
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