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SUMMARY:Prof. Neena Gupta (Indian Statistical Institute\, Kolkata)
DTSTART:20220316T123000Z
DTEND:20220316T133000Z
DTSTAMP:20260423T021411Z
UID:tmc-dls/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tmc-dls/28/"
 >$G_a$-actions and their applications</a>\nby Prof. Neena Gupta (Indian St
 atistical Institute\, Kolkata) as part of TMC Distinguished Lecture Series
 \n\n\nAbstract\nLet $k$ be an algebraically closed field\, $V$ be an affin
 e $k$-variety and $A$ be its coordinate ring. A $G_a$-action on $V$ is an 
 algebraic group action of the additive group $(k\, +)$ on $V$.  A $G_a$-ac
 tion on $V$ gives rise to a certain ring homomorphism from $A$ to the poly
 nomial ring $A[T]$ called an exponential map on the ring $A$.  When $k$ is
  of characteristic zero\, $G_a$-actions or exponential maps is convenientl
 y studied through the concept of locally nilpotent derivations. Techniques
  from locally nilpotent derivations and exponential maps have provided cru
 cial breakthroughs in solving some of the major challenging problems on po
 lynomial rings. In this talk\, we discuss a few examples of these developm
 ents.\n
LOCATION:https://researchseminars.org/talk/tmc-dls/28/
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