Starts 12 Aug 2026 14:00
Ends 12 Aug 2026 16:00
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Basic Notions Seminar - Mixed Hodge structures: an invitation
ICTP
ABSTRACT:
The cohomology of an algebraic variety carries extra symmetries beyond what the underlying topological space sees. For smooth projective varieties, these symmetries are captured by the so-called Hodge decomposition. When you drop the assumptions of smoothness or projectivity, these symmetries break down in a controlled way, recorded by a notion of weight. In this talk, we will explore these symmetries in the concrete case of curves: elliptic curves where everything works perfectly, and singular or non-compact curves where the structure changes in measurable ways.
ZOOM LINK:
https://zoom.us/j/92671464694?pwd=x5oR9gMgGVOvPcPfaSzL2Q40oP3a3v.1
Meeting ID: 926 7146 4694
Passcode: 182912
The cohomology of an algebraic variety carries extra symmetries beyond what the underlying topological space sees. For smooth projective varieties, these symmetries are captured by the so-called Hodge decomposition. When you drop the assumptions of smoothness or projectivity, these symmetries break down in a controlled way, recorded by a notion of weight. In this talk, we will explore these symmetries in the concrete case of curves: elliptic curves where everything works perfectly, and singular or non-compact curves where the structure changes in measurable ways.
ZOOM LINK:
https://zoom.us/j/92671464694?pwd=x5oR9gMgGVOvPcPfaSzL2Q40oP3a3v.1
Meeting ID: 926 7146 4694
Passcode: 182912