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DTSTAMP:20210127T210000Z
UID:1611326601911@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20210127T210000Z
DTEND:20210127T220000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
 Algebra\n
 \n
 Vaidehee Thatte, SUNY Binghamton, will 
 be speaking.\n
 \n
 The seminar is titled "Arbitrary 
 Valuation Rings and Wild Ramification."\n
 \n
 Contact 
 Preston Wake (wakepres@msu.edu) 
 for more information.\n
 \n
 We aim to develop ramification 
 theory for arbitrary valuation fields, 
 extending the classical theory of complete 
 discrete valuation fields with perfect residue 
 fields. By studying wild ramification, 
 we hope to understand the mysterious phenomenon 
 of the defect (or ramification deficiency) 
 unique to the positive residue characteristic 
 case and is one of the main obstacles in obtaining 
 resolution of singularities. Extensions 
 of degree p in residue characteristic p>0 
 are building blocks of the general case. We present 
 a generalization of ramification invariants 
 for such extensions. These results enable 
 us to construct an upper ramification filtration 
 of the absolute Galois group of Henselian 
 valuation fields (joint with K.Kato).\n\n
 Price: free\n
 Sponsor: Department of Mathematics\n
 Sponsor's Homepage: https://www.math.msu.edu/\n
 Contact name: Department of Mathematics\n
 Contact phone: (517) 353-0844\n
 for more info visit the web at:\n 
 https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Online via Zoom
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