Grigori Perelman short life story

1. ELECTRONICS AND COMMUNICATION ENGINEERING
Submitted by:
Md. Imtiaz Ahmed Id: 2017-1-55-004
Jubayed Hossain Turag Id: 2017-1-55-030
Md. Mahmud Islam Id: 2015-2-60-117
Rahela Akhi Id: 2017-1-55-016
Bipash Khatun Id: 2017-1-50-012
COURSE TITLE: DIFFERENTIAL AND INTEGRAL CALCULUS
COURSE CODE: MAT101
SEMESTER: SPRING 2017
SECTION: 08
GROUP:C
Submitted to:
Sajal Chakroborty (SCB)

2. CONTENTS OF THE PRESENTATION
Introduction
Early Life and Education
Personal details and Contributions
Achievements
Research

3. Gregory Perelman
(13 June,1966 ---)

4. INTRODUCTION
 With the internet accessibility and all the resources available to each student
today it was a tough job to find that one mathematician, the one who I would
consider a hero. How does a student pick one of thousands of mathematicians
to idolize?
 Well, I managed to find mine by adding mysterious to my mathematician
search and came up with the name of a man who seemed to dominate the news
media in his recent removal of one of the most prestigious awards in the
mathematics community.
 Upon further investigation his reasoning for not accepting the award for his
proof is what I found most engaging. What I found in Grigori Perelman was a
man whose ethical standards may supersede even his mathematical ingenious.

5. Early Life
Grigori Perelman is a Russian mathematician who was born on 13th
June 1966 who made his mark through Riemannian geometry and
geometric topology. His birth location was known as Leningrad, Soviet
Union at that time but is now called Saint Petersburg, Russia.
Perelman’s parents were Jewish, as he was growing up his mathematical
leanings became apparent so his mother decided to enroll him in an
after-school math training program at Sergei Rukshin’s.

6. Education
 He studied at a specialized school at Leningrad Secondary School #239,
where he focused on advanced mathematics and physics.
 Perelman was a member (1982) of the Soviet Union team that was
participating in the International Mathematical Olympiad and he won a
gold medal.
 Perelman earned a PhD (Candidate of Sciences degree) from the School of
Mathematics and Mechanics of the Leningrad State University.
 He worked at the reputable Leningrad Department of Steklov Institute of
Mathematics.

7. Personal Details
 Perelman has retired from the field of mathematics, as of 2003 he
stopped working at Stelov Institute.
 Many people believe that is it due to the superficial learnings in the
mathematical world, and have labelled his isolation on that particular
reason.
 Additionally Perelman has tried to avoid journalists and has also
expressed his dislike for awards and prizes which carry financial value.

8. Contributions
 Perelman is still regarded as one of the best mathematicians who helped
resolve a mathematical dilemma with the ‘soul conjecture’.
 Despite the efforts of trying to accredit him for his work and his
continuous rejection, he still remains a man who invested his time and
effort which server mathematicians appreciated in the world today.

9. Achievements…
 Due to contribution of Perelman about “Aleksandrov’s spaces of curvature
bounded from below” he won the Young Mathematician Prize of the St.
Petersburg Mathematical Society in 1991.
 In 1993 he was offered a Miller Research Fellowship at the University of
California, Berkeley which lasted two years.
 Perelman proved the ‘soul conjecture’ in 1994 which led to job offers from
many top universities in the United States of America which also included
Princeton and Stanford.
 However, he turned down all the tempting offers and went to Steklov
Institute in Saint Petersburg for a research position in 1995.

10. Achievements
 Perelman is also known for proving Thurston’s geometrization
conjecture in 2002.
 He was awarded the Fields Medal in 2006, but he rejected it saying “I’m
not interested in money or fame, I don’t want to be on display like an
animal in a zoo”. Perelman also declined the Millennium Prize in 2006.
 With his mathematical contributions, he was invited to different
institutes to speak and his work has been explained by various authors in
Journals.
The Journal ‘Science’ acknowledged Perelman’s proof of the Poincaré
conjecture as a “Breakthrough of the Year”, which was one of its kind at
that time. This suggests that Perelman had unfolded a significant turning
in the world of Mathematics.

11. Gregory Perelman’s
Research…
 Perelman proved the conjecture by deforming the manifold using the Ricci flow
(which behaves similarly to the heat equation that describes the diffusion of heat
through an object). The Ricci flow usually deforms the manifold towards a rounder
shape, except for some cases where it stretches the manifold apart from itself towards
what are known as singularities.
 Perelman and Hamilton then cut the manifold at the singularities (a process called
"surgery") causing the separate pieces to form into ball-like shapes.
 Major steps in the proof involve showing how manifolds behave when they are
deformed by the Ricci flow, examining what sort of singularities develop, determining
whether this surgery process can be completed and establishing that the surgery need
not be repeated infinitely many times.
Poincare conjecture

12. Gregory Perelman’s
Research…Geomatrization conjecture
 Thurston's geometrization conjecture states that certain three-dimensional topological
spaces each have a unique geometric structure that can be associated with them.
 It is an analogue of the uniformization theorem for two-dimensional
surfaces, which states that every simply-connected Riemann surface can
be given one of three geometries (Euclidean, spherical, or hyperbolic).
 Grigori Perelman sketched a proof of the full geometrization conjecture in
2003 using Ricci flow with surgery. The Poincaré conjecture and the
spherical space form conjecture are corollaries of the geometrization
conjecture

13. THANK YOU