Refinement of the Parshin symbol for surfaces
Friday, 2.7.10, 11:15-12:15, Raum 127, Eckerstr. 1
On an algebraic curve there are Tate symbols, which satisfy Weil\nreciprocity law. The analogues in higher dimensions are Parshin\nsymbols, which satisfy Kato-Parshin reciprocity laws. We give a\nrefinement of the Parshin symbol for surfaces, using iterated\nintegrals in the sense of Chen. The product of the refined symbol\nover the cyclic permutations of the functions recovers the Parshin\nsymbol. Also, we construct a logarithmic version of the Parshin\nsymbol. We prove reciprocity laws for both the refined symbol and\nthe logarithmic Parshin symbol.\n\n
Limiting Mixed Hodge Structures
Wednesday, 7.7.10, 14:15-15:15, Raum 127
Einige Phänomene im Umfeld der Gross-Zagier-Formel
Friday, 9.7.10, 00:00-01:00, SR 125
The Clemens-Schmid sequence
Wednesday, 14.7.10, 14:15-15:15, Raum 127