Invitation to Seminar Talk Twistor spaces and purity of Hodge structures Michael Lennox Wong University of Duisburg-Essen Host: Tamas Hausel We will recall the twistor construction for a hyperkähler metric, which encodes the various complex structures associated with the metric into a single holomorphic family over the projective line. In the case that this family is algebraic, one can sometimes apply results of Crawley-Boevey-Van den Bergh--Nakajima and Hausel--Letellier--Rodriguez-Villegas to conclude that the Hodge structure on the cohomology of the fibres is pure. We will look at some examples and express some hope that the technique can be applied to certain moduli spaces of meromorphic connections. Thursday, October 13, 2016, 02:00pm Seminar Room Big Ground Floor, Office Building West Thi s invi tation is va lid as a ti cket for the IST Shuttle from a nd to Heiligenstadt Station. Pl ease find a s chedule of the IST Shuttle on our webpage (note that the IST Shuttle ti mes a re highlighted i n dark green): http://i st.ac.at/fileadmin/user_upload/pdfs/IST_shuttle_bus.pdf The IST Shuttle bus is marked IST Shuttle (#242) and has the Institute Logo printed on the s ide. Institute of Science and Technology Austria | Am Campus 1 | 3400 Klosterneuburg www.ist.ac.at
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