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Universität Augsburg
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Universität Augsburg
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Dr. Benjamin Matschke
IHES, Paris
spricht am
Montag, 6. Mai 2013
um
16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| If a chain complex is fi ltered over a poset I, then for every chain in I we obtain a spectral sequence. In this talk we de fine a so called spectral system that contains all these spectral sequences and relates their pages via differentials, extensions, limits, and natural isomorphisms. We also study an analog of exact couples that provides a more general construction method for these spectral systems. This turns out to be a good framework for unifying several spectral sequences that one would usually apply one after another. Examples are successive Leray-Serre spectral sequences, the Adams-Novikov spectral sequence following the chromatic spectral sequence, successive Grothendieck spectral sequences, and successive Eilenberg-Moore spectral sequences. Po Hu's transfinite spectral sequences form a substructure of certain spectral systems. Fary functors and perverse sheaves give naturally rise to spectral systems. |
| Hierzu ergeht herzliche Einladung. |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn.