0:00:03many fields of mathematics or hundreds reason thousands of years old
0:00:08by contrast
0:00:09like so the group research is not really held every year which is a relatively
0:00:13new a rise in nineteen twenty nine
0:00:17it was originally i fondly male one of the twentieth century most influential scientist to
0:00:24describe quantum mechanics mathematics
0:00:28while you know to five hundred you
0:00:33sometimes
0:00:35using the i so that's not similar files so they well i'll files that it
0:00:42is what do you can buy do not i saw
0:00:48so i was able to do so
0:00:53i know twinkle a and are still sale kinda files
0:00:58you know about them in total time
0:01:01it can i think it's
0:01:05a little bit to can do you want to do i shall test that was
0:01:10of the audio files so i'd anymore pass is that they
0:01:17we only consider a combination rule comfortable car
0:01:26i five seconds well
0:01:29do not styles come though some of those all
0:01:35the mathematical features the operator algebra theory can be expressed in three were impolite topology
0:01:41noncommunicative it
0:01:44but it means object has an infinite size and this results in various mysterious phenomena
0:01:50the daughter rise and a finite world also operator algebra theory we don't exclude the
0:01:56infinite major projects as being topological
0:01:59instead we try to obtain using various tools and that's
0:02:04the most powerful tool is our second keyword topology
0:02:09it operator eligible here
0:02:11try to control infinity using knowledge which varies depending on situations different apology easily different
0:02:19concepts
0:02:20see star l two brothers infantrymen l two press
0:02:24our last keyword
0:02:25non cumulative it expresses the phenomenon we're considering a product in different order changes the
0:02:32results
0:02:33in ordinary arithmetic products don't dependent order
0:02:37but for this product may well depend on a word like matrix multiplication
0:02:43so let us about
0:02:45i see what on top has a
0:02:47well a to calculate everything field
0:02:51three
0:02:53in a
0:02:55i'm not able to set to
0:02:58again
0:02:59facial scrub insular model okay cues
0:03:04you met a later stage i individuals with it
0:03:11that hilbert hotel has an infinite number of room
0:03:15even if that's all but a new customer rise the hotel can move the person
0:03:19state in room one to room to the person sitting room to room three and
0:03:25so on to make room winemaking
0:03:29using this method
0:03:30even if it into the number you customers alright the hotel attunement against room one
0:03:36room to the guest room to
0:03:40you guessed in room three rooms six
0:03:43i guess the room for room eight
0:03:45and the guest in room and to an making all odd number of rooms bacon
0:03:51so an infinite number of people can stay
0:03:55research students in the cost so they can also study the relationship between tiling in
0:04:00see star algebra and tackle many topics in set theory in large
0:04:08in this way the group words open up new frontiers in mathematics
0:04:15don't know someday
0:04:19a little to graduate level which we did not school with what they accented and
0:04:28and will not be you know which one is
0:04:30the same or not
0:04:32the above kind of we consider
0:04:34so that the gender acoustic echo
0:04:36okay good
0:04:39are you have to do not case
0:04:42i excellent julia a direct