![]() Along the way, we will discuss algebraic spheresĪnd maps between them. Understand if these classes actually define vector bundles on these The classifying space BSL m for n larger than m, and then try to To produce interesting classes of maps between projective spaces and Title: How to (almost) construct low rank vector bundles on projective spacesĪbstract: In this talk, we will discuss the problem to construct low rankĪlgebraic vector bundles on P n. Speaker: Jean Fasel (Institut Fourier, Grenoble) (Session chaired by Simon Pepin Lehalleur) Of the conjectural correspondence with Gromov-Witten invariants.Īpril 9 at 3pm. We explain how this virtual structure plays a key role inĬomputing stable pair invariants of local curves and (re)proving an instance ![]() These moduli spacesĪre almost never smooth but admit a virtual fundamental class à laīehrend-Fantechi. We generalize them by studying double nested Hilbert schemes of points, which parametrize flags of 0-dimensional subschemes satisfyingĬertain nesting conditions dictated by Young diagrams. Title: Double nested Hilbert schemes of points and stable pair invariantsĪbstract: Hilbert schemes of points on a smooth projective curve are simply symmetric powers of the curve itself they are smooth and we know almost everything about them. Speaker: Sergej Monavari (Utrecht University) For instance, it allows to produce the first example of a smooth complex projective variety whose Griffiths group has infinite torsion.Īpril 23 at 3pm. Over the complex numbers, our approach simplifies and generalizes to cycles of arbitrary codimensions on possibly singular schemes, previous results of Bloch-Ogus, Colliot-Thélène-Voisin, Voisin, and Ma. Title: Refined unramified homology of schemesĪbstract: We introduce refined unramified (co-)homology of algebraic schemes and prove several comparison results with cycle groups. Speaker: Stefan Schreieder (Leibnitz Universität Hannover) In joint work with Raymond Cheng, we show that the conjecture fails even for rational surfaces in positive characteristic. It is known to fail for surfaces of general type in positive characteristic, and the rational and characteristic 0 cases have been heavily studied recently. Title: Unbounded negativity on rational surfaces in positive characteristicĪbstract: The bounded negativity conjecture asks whether the self-intersections of irreducible curves on a (fixed) surface are bounded from below. Speaker: Remy van Dobben de Bruyn (Princeton and IAS) Programme (in reverse chronological order): June 4 at 3pm. ![]() On May 28 at 3pm, Stefan Schreieder will talk on Refined unramified homology of schemes. If you experience any problems with this, please send an email to Ben Moonen, b.moonen =at= .nl If you wish to receive these announcements, please subscribe to this mailing list, which can be done here. Announcements with the required coordinates and passwords are sent to the mailing list for the seminar. Before the talks there is an opportunity to meet informally via gather.town. The seminar meetings will take place on Fridays (bi-weekly) at 3pm, via zoom. Dutch Online Algebraic Geometry Seminar, Spring 2021
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