Geometry and Physics Seminar, Thursday 26 January, at 14:00, SISSA, Room 136

[Math Group]

ICTP-SISSA - GEOMETRY AND PHYSICS SEMINARS 2017


Thursday, 26 January, at 14:00 hrs. SISSA, ROOM 136


Shehryar Sikander (ICTP)


Title: K3 surfaces associated with Teichmueller curves


Abstract:  Teichmueller curves are complex geodesics in the moduli space 
of curves with respect to the Kobayashi metric. As such, a Teichmueller 
curve in genus 2 moduli space naturally parametrizes a family of Kummer 
K3 surfaces. We will discuss the geometry of such a family of K3 
surfaces arising from Teichmueller curves, with special emphasis on the 
variation of Hodge structure and mirror symmetry. Time permitting, we 
will talk about 'attractive' K3 surfaces, which are special fibers of 
this family, that provide a fascinating link between the arithmetic 
theory of complex multiplication and black holes in type IIB string 
theory compactified on the product of a K3 surface with an elliptic 
curve (This is ongoing work with Atish Dabholkar (ICTP).


VENUE:  SISSA (room 136)


-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building, room 106
Strada Costiera no. 11
34151 Trieste, Italy

Tel. no.: +39-040-2240455
math at ictp.it
http://math.ictp.it