Research Seminar Number Theory and Arithmetic Geometry
Summer term 2024
Fridays, 10:45-11:45
Seminar room A410 in Welfenschloss (main building, Welfengarten 1) or online (researchseminars.org)
Datum | Vortragende/r | Vortragstitel |
---|---|---|
Fr 19.4.2024 | ||
Fr 26.4.2024 | Guy Fowler (LUH) | André--Oort for sums of powers in C^n Pila's proof of André--Oort for C^n shows that the discriminants of the isolated special points on a hypersurface in C^n may be bounded by an ineffective constant that depends only on the degree of the hypersurface and the degree of its field of definition. In particular, the constant is independent of the height of the equation defining the hypersurface. Most of the special cases of André--Oort that are known effectively (due to Kühne, Bilu, Binyamini etc.) do not possess the same uniformity as Pila's ineffective result. In this talk, I will describe some results which are both uniform and effective for the family of hypersurfaces: a_1 x_1^m + ... + a_n x_n^m = b, where a_1, ..., a_n, b are rational and m is a positive integer. |
Fr 3.5.2024 | Christian Bernert (LUH) | Points of bounded height on del Pezzo surfaces The Manin-Peyre conjecture predicts the distribution of points of bounded height on Fano varieties over number fields. I will report on joint work with Ulrich Derenthal where we study this conjecture in the case of del Pezzo surfaces of degree 5. |
Fr 10.5.2024 | ||
Fr 17.5.2024 | ||
Fr 31.5.2024 | ||
Fr 7.6.2024 | Ruida Di (LUH) | |
Fr 14.6.2024 | Gebhard Martin (Bonn) | |
Fr 21.6.2024 | Cameron Wilson (Glasgow) | |
Fr 28.6.2024 | ||
Fr 5.7.2024 | ||
Fr 12.7.2024 |