Interesting... First conjecture mentioned in the lecture i.e., Fermat's Last Theorem is now actually a theorem as it's been proven by Andrew Wiles in 1994, second conjecture he mentioned i.e., Poincare's Conjecture is also a theorem as Grigori Perelman proved it in 2002/3, the Classification of Finite Simple Groups published in 1983 he mentioned turns out to be incomplete with a really big gap but now it's been fixed too in a 1221 page paper by Aschbacher and Smith in 2004. As this lecture occurred in 1989, it's interesting to see how much maths has progressed in last around 25 years.
There’s a wonderful little paper by Maclane, Maclane and Warfield. Ginger Maclane is Saunders’ daughter. Bob Warfield is her husband, a brilliant algebraist who sadly passed away much too young. Ginger has since made remarkable contributions to the Discovery Method approach to math education.
I attended the talk. I was a grad student at UW-M in the 1988-1989 school year. My memory is second semester, but that was thirty some years ago now -actual mileage may vary. If I remember right, Marsden had a personal connection with MacLane. I do remember being a little miffed that the chairman of the department did not attend (forget his name), on the premise that he had a business calculus class to teach. This was true, but it seemed a pretty thin excuse at the time.
Interesting... First conjecture mentioned in the lecture i.e., Fermat's Last Theorem is now actually a theorem as it's been proven by Andrew Wiles in 1994, second conjecture he mentioned i.e., Poincare's Conjecture is also a theorem as Grigori Perelman proved it in 2002/3, the Classification of Finite Simple Groups published in 1983 he mentioned turns out to be incomplete with a really big gap but now it's been fixed too in a 1221 page paper by Aschbacher and Smith in 2004. As this lecture occurred in 1989, it's interesting to see how much maths has progressed in last around 25 years.
FLT and Poincare conjecture, even today, are always known in original names. Great conjectures spirit.
I've owned this guys books on algebra for years and im glad to see that he seems like a good humored man.
Amazing to see the giants of mathematics.
Thanks for the categories Mr. Lane!
Me (mod 2)
Brilliant talk from one of the fathers of category theory. Many thanks for sharing this!
Thanks for the Category Theory Prof Mac Lane
What a treasure! Thanks so much for sharing this!
Reminds me of Carl Sagan somehow. Thanks for posting!
Great job. Dr Saunders Mac Lane. I personal, admire his math job.
I have an addiction to buying his books! Classy as site
There’s a wonderful little paper by Maclane, Maclane and Warfield. Ginger Maclane is Saunders’ daughter. Bob Warfield is her husband, a brilliant algebraist who sadly passed away much too young. Ginger has since made remarkable contributions to the Discovery Method approach to math education.
LEGEND
Nice talk.
Great upload. When was this lecture given?
mahmedaa listen at 18:53 "... when Marshall Stone died last month ..." (which was 09.01.1989), then the lecture was given in Feb 1989.
I attended the talk. I was a grad student at UW-M in the 1988-1989 school year. My memory is second semester, but that was thirty some years ago now -actual mileage may vary. If I remember right, Marsden had a personal connection with MacLane. I do remember being a little miffed that the chairman of the department did not attend (forget his name), on the premise that he had a business calculus class to teach. This was true, but it seemed a pretty thin excuse at the time.
What is the ratio between likes and dislikes?
+Michael Lubin :} Defined.
Good video or lectures have 1 or 2 dislikes o the average.
That is zero as defined by Boole
Finally Prof Mac Lane can look down to Prof Marden. Last laugh is always good.
what do you mean?
"French philosopher" Fermat :)
Super maths amateur in his time. Now considered to be great mathematician.
Riveting. lol