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SUMMARY:Oğuz Şavk (Boğaziçi University)
DTSTART:20201104T150000Z
DTEND:20201104T163000Z
DTSTAMP:20260422T172225Z
UID:UCGEN/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCGEN/13/">B
 rieskorn spheres\, homology cobordism and homology balls</a>\nby Oğuz Şa
 vk (Boğaziçi University) as part of UCGEN - Uluslararası Cebirsel GEome
 tri Neşesi\n\n\nAbstract\nA classical question in low-dimensional topolog
 y asks which \nhomology $3$-spheres bound homology $4$-balls. This questio
 n is fairly \naddressed to Brieskorn spheres $\\Sigma(p\,q\,r)$. Since the
 y are defined \nto be links of singularities $x^p+y^q+z^r=0$\, Brieskorn s
 pheres are \nalgebro-geometric originated $3$-manifolds.\n\nOver the years
 \, Brieskorn spheres also have been the main objects for \nthe understandi
 ng of the algebraic structure of the integral homology \ncobordism group. 
 In this talk\, we will present several families of \nBrieskorn spheres whi
 ch do or do not bound integral and rational \nhomology balls. Also\, we wi
 ll investigate their positions in both \nintegral and rational homology co
 bordism groups.\n
LOCATION:https://researchseminars.org/talk/UCGEN/13/
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