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SUMMARY:Alexander Degtyarev (Bilkent)
DTSTART:20261218T124000Z
DTEND:20261218T134000Z
DTSTAMP:20261026T214403Z
UID:OBAGS/95
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/95/">A
 n extension of the Gudkov--Rokhlin congruence to singular curves</a>\nby A
 lexander Degtyarev (Bilkent) as part of ODTU-Bilkent Algebraic Geometry Se
 minars\n\n\nAbstract\nJoint work in progress w/ Ilia Itenberg.\n\nUpon com
 pleting the deformation classification of simple real plane sextic curves 
 with smooth real part\, we observed certain distinctive lacunas in our lis
 t of topological types. These lacunas are very similar to those in the smo
 oth case\, which originally led to the discovery of the Gudkov--Rokhlin co
 ngruence. However\, ours depend on the set of singularities and\, therefor
 e\, need a new dedicated congruence\; we suggest one.\n\n A remarkable fac
 t supported by our classification and explained in the proof is that the c
 ongruence holds for *many*\, but not *all* types of singularities. In part
 icular\, simple nodes (that would normally serve as a litmus test for any 
 singularity related statement) are excluded!\n\n In spite of the algebra-g
 eometric setting\, the proof is mostly topological.\n
LOCATION:https://researchseminars.org/talk/OBAGS/95/
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