BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Eshita Mazumdar (Ahmedabad University\, Ahmedabad\, India) DTSTART:20260718T130000Z DTEND:20260718T132500Z DTSTAMP:20260710T111653Z UID:CANT2026/78 DESCRIPTION:Title: Extending zero-sum theory from abelian to non-abelian groups\nby Esh ita Mazumdar (Ahmedabad University\, Ahmedabad\, India) as part of Combina torial and additive number theory seminar (CANT 2026)\n\nLecture held in S cience Center in the CUNY Graduate Center (4th floor).\n\nAbstract\nZero-s um theory is a central topic in additive combinatorics that studies the st ructure of sequences over finite groups and the conditions guaranteeing th e existence of zero-sum subsequences. Fundamental parameters in this area include the Davenport constant and the Erdős–Ginzburg–Ziv constant\, which measure the threshold lengths forcing zero-sum behavior. These invar iants originated in the study of non-unique factorizations in algebraic nu mber theory\, but determining their exact values remains a challenging pro blem even for many finite abelian groups. In this talk\, I will discuss re cent progress on zero-sum problems in finite non-abelian groups. In partic ular\, I will highlight how combinatorial techniques developed for abelian groups can be adapted—or fail—to extend to the non-abelian setting\, and how new phenomena arise due to the lack of commutativity. I will also present several results that reveal surprising connections between classic al zero-sum invariants of abelian groups and their analogues for non-abeli an groups\, pointing toward a broader combinatorial framework for zero-sum theory.\n LOCATION:https://researchseminars.org/talk/CANT2026/78/ END:VEVENT END:VCALENDAR