Geometry has always been about far more than the measurement of shapes. It is at the heart of physics as well as mathematics. Inscribed above the door of Plato’s Academy in Athens were the words, ‘Let no one ignorant of geometry enter’.
From geometry’s classical beginnings, via the Renaissance and the Enlightenment, to the present day, Yang-Hui He will take us on a journey through time and space, culminating in our understanding of spacetime itself. In the 19th century, mathematicians such as Carl Gauss and Bernhard Riemann considered what would happen if we relaxed Euclid’s axioms. The result was the explosion of post-Euclidean geometry, which paved the way for Einstein’s theory of relativity and the birth of modern physics.
Singularity solutions of spacetime geometry have led to the discovery of black holes. And string theory, in the attempt to unify quantum mechanics with relativity, is giving rise to a brave new world of quantum geometry. If you’re ignorant of any of this on arrival, rest assured that by the time you leave you’ll be fit to enter Plato’s Academy.
This event is in partnership with the London Institute for Mathematical Sciences (LIMS)
This is a Theatre event, where the speaker and audience in our Theatre are joined by an online audience. You will have priority access to the recorded video for a week after the event has taken place
Tickets to attend in person or to watch the livestream are both available from this page.
For more information on livestreams, see the information below, or visit our FAQs page. Please use the event link you have been provided with.
By booking to attend events at the Royal Institution, you confirm that you have read and accept the Ri's event terms and conditions. You also agree to abide by our code of conduct, and help to create a great experience for yourself and your fellow participants.
Prof. Yang-Hui He is a Fellow at the London Institute, Professor of Mathematics at City, University of London, Tutor in mathematics at Merton College, Oxford, and Chang-Jiang Chair of physics at Nankai University in China. He obtained his BA at Princeton, where he graduated summa cum laude and was awarded the Shenstone Prize and Kusaka Prize. He did his MA at Cambridge (Distinction, Tripos) and earned his PhD at MIT. After a postdoc at the University of Pennsylvania, Yang joined Oxford University as the FitzJames Fellow and an STFC Advanced Fellow. He works at the interface of string theory, algebraic and combinatorial geometry, and machine learning.
The London Institute for Mathematical Sciences (LIMS) is Britain’s only independent research institute in physics and mathematics. Based at the Royal Institution of Great Britain, LIMS offers scientists an alternative to a university career, giving them the freedom and support to devote themselves full-time to making discoveries.
Doors to the Theatre will open at about 6.50pm.
We try and have all attendees must be seated in the Theatre by 7.25pm. The Discourse will start at 7.30pm.
A Pay Bar will be available from 6.00pm. It will open again after the talk, until 9.30pm.
More about Discourses
Discourses are one of the Ri’s oldest and most prestigious series of talks. Since 1825, audiences in the theatre have witnessed countless mind-expanding moments, including the first public liquefaction of air by James Dewar, the announcement of the electron by JJ Thomson and over 100 lectures by Michael Faraday. In more recent times, we have had Nobel laureates, Fields medal winners, scientists, authors and artists – all from the cutting-edge of their field. Discourses are an opportunity for the best and brightest to share their work with the world.
Steeped in nearly two centuries of tradition, a Discourse is more than just a lecture. To keep the focus on the topic, presenters begin sharply at 7:30pm without introduction and we lock the speaker into a room ten minutes ahead of the start (legend has it that a speaker once tried to escape!). Some of our guests dress smartly for our Discourse events to add to this sense of occasion.
Find out more about the history of the Friday Evening Discourses on our blog.
The Theatre is on the first floor and there is step-free access from the street via lift.
The closest underground station is Green Park, which is step-free.
There is space at floor level in the theatre for wheelchair users.
Seating is usually unreserved for our events. If you and your group require seating reservations, please do let us know by emailing us at firstname.lastname@example.org, and we’ll be more than happy to help.
Carers can receive a free ticket to an event by emailing email@example.com.
Our theatre is equipped with an Audio Induction Loop.
In line with government guidance, face masks are no longer mandatory and wearing one in our Theatre and at Ri events is at your discretion. Please do continue to observe other Covid-secure measures, such as maintaining a social distance, wherever possible.
Please do not attend the Ri if you are displaying Covid-symptoms and/or are still returning a positive test.
Thank you for respecting other people and their choices, and for helping us keep all of our visitors and staff safe and well.
Event terms and conditions
Online booking for Royal Institution events is run by a third-party service, Eventbrite (www.eventbrite.co.uk).
View the full Eventbrite terms of service (www.eventbrite.com/tos)
Errors made by you when entering your data, are your responsibility and the Royal Institution will not be held responsible for any inconvenience caused by the supply of incorrect personal information, nor will we offer refunds on any accidental purchases made. It is your responsibility to check that the tickets issued to you are accurate.
The Royal Institution occasionally runs events in partnership with other organisations, learned societies and charities. In this instance we reserve the right to share your contact details with these third parties, solely for the purpose of providing you with information relating to that event.
Refunds and exchanging tickets
The Royal Institution will only guarantee a refund if the event is cancelled by us. Our liability in this case will be limited to the face value of your tickets.
If you wish to cancel your booking, you must let us know 24 hours before the start of the event.
The Royal Institution may allow users to request ticket refunds on online ticket purchases through Eventbrite at our discretion.
To request a refund, users must log into their personal Eventbrite account.
If you have purchased tickets by phone and wish to cancel your booking, you must call us at least one working day prior to the start of the event. To request a refund, please phone 020 7409 2992 or email firstname.lastname@example.org.
Free tickets may be released at any time by the user at no charge.
Science Short Courses
For Science Short Courses, attendees may request a refund up to 7 days before the start of the course. After this point, a refund cannot be offered.
You must ensure that you book only the tickets for which you are eligible based on your level of membership at the time of the event. The Royal Institution reserves the right to cancel your ticket if member ticket eligibility criteria are not met.
Concession tickets are available for the following groups:
- Aged 66 or over
- Aged 16 or under
- Full-time students
- Anyone in receipt of Universal Credit
All children aged 4 and above need a ticket to attent events at the Ri.
For online payments processed through Eventbrite payments may be made using American Express, MasterCard, Visa, or Visa Debit.
Payments made by phone are processed by a secure Tier 1 DSS compliant payment processor. We accept MasterCard, Visa, Visa Delta, Maestro and American Express. We cannot accept Solo, Visa Electron or Diners cards.
Bookings on behalf of a party of people
If you are booking on behalf of a party, you accept these terms and conditions on behalf of all members of your party and are responsible for all payments due from the party.
Unless specified, our public events are suitable for ages 15 and above. However for most events, younger children are more than welcome to attend with parental permission.
Children aged under 13 years must be with accompanying adult. If you are unsure of the suitability of an event for a young person, please contact the Public Programme team at email@example.com.
Freedom of speech
The Royal Institution is a forum for the free and open discussion of ideas, and we recognise the fundamental importance of freedom of speech within the law. All speakers who contribute to any of our programmes represent their own views and do not necessarily represent the views of the Royal Institution.
Before the event
To gain access to our online events, you will need to book a ticket through our Website. The ‘Book Tickets’ button will take you to the Eventbrite page for the same event. Our prices range from £3 for Ri Members or Ri Patrons, to £20.
If you are a Ri Member or Ri Patron, and want to choose a higher priced ticket, you are free to do so.
Once you have purchased your ticket, you will get an email confirmation from Eventbrite.
There will be two reminder emails sent out. One 2 hours before the event takes place and one 10 minutes before the event takes place. These will have an option to log in through Eventbrite to watch the event, or use the direct webpage link.
During the event
We aim to go live 5 minutes before the event begins.
If you have a blank screen or no sound, please refresh the page. Sometimes for the sound, you will need to actively unmute the video by pressing the volume icon on the video itself.
If you’re still having issues at the start time of the event, you can either:
Contact us through the chat box on the webpage
Email us through Eventbrite
Email us directly through firstname.lastname@example.org
There are some occasions where technology works against us, and we will have to postpone the event. We will notify you:
Via the chat box. The host will keep you updated between 5 mins before the start and the cut off time of 15 minutes after the start.
Via email. This may be slightly more delayed response but the host will answer you there.
Finally, via Eventbrite email. This will go to all audience members and will be sent if the event is being postponed.
After the event
Ticket holders will be able to rewatch the recording of the event for a week after the event takes place. A reminder of this will be sent out via Eventbrite email the day after the event.
We try to upload our events to our YouTube channel within a couple months’ time. Here, it is free for everyone to view.
Find out more
Read all our livestream FAQs here.
Refunds and exchanging tickets
The Royal Institution will only guarantee a refund if the event is cancelled by us. Our liability in this case will be limited to the face value of your tickets. If you have purchased tickets by phone and wish to cancel your booking, please phone 020 7409 2992 or email email@example.com. If you have purchased tickets via Eventbrite and wish to cancel your booking you will need to log into your personal Eventbrite account. You may only request a refund if you have cancelled your ticket at least two weeks (14 days) prior to the workshop start date. After this date, a refund may be possible, but only if there is someone on the waiting list who can take your place.
Summer School workshops are very strictly for students within the age criteria advertised for each event. We are unable to accept bookings for students outside these ages and any bookings made for students who are not of the correct age at the time of the workshop will be cancelled. This is to make sure students attending can get the most out of their experience.
Workshops which run from 11am to 3pm include a lunch break and students must bring a packed lunch and a drink. For ages 16–18, students will be allowed the leave the building during this break. For ages 13–15, only when permission has been given at the time of booking will students be allowed to leave unattended. For ages 7–9 and 10–12, students will be fully supervised and only allowed to leave the building with their responsible adult.
If students have any allergies, medical conditions or access requirements please inform us of these at the time of booking, so we have time to make any adjustments required. If you have any questions or concerns please contact us via firstname.lastname@example.org.
Attending Ri events
The Royal Institution reserves the right to make any alterations to speakers, event content, event timing and/or event venue, and will make reasonable efforts to contact audience members to inform them of any changes. The Royal Institution will not be held liable for any changes made to the advertised event.
Right to refuse and search
The Royal Institution reserves the right to refuse you admission if, in its reasonable opinion, your admission to the venue might:
- Be a risk to the safety of the audience and/or yourself, and/or
- Affect the enjoyment of members of the audience, and/or
- Affect the running of the event
For example, if you act aggressively and/or appear to be under the influence of drink and/or drugs, you will be refused admission. We may also request you to leave (taking any such appropriate action that may be necessary to enforce this right) before or during events for any of the reasons given above. Should you be refused admission or requested to leave you will not be entitled to a refund. The Royal Institution may also, on certain occasions, have to conduct security searches to ensure your safety.
All children under the age of 13 must be accompanied by an adult while in the theatre. The Royal Institution reserves the right to refuse admission to an unaccompanied child under the age of 13.
All children aged 4 and above need a ticket to attent events at the Ri.
The Royal Institution will, in most cases, be able to seat you if you arrive late to an event. However, we reserve the right to refuse you admission if you do not arrive by the start of the event. We also reserve the right to re-sell your ticket if you have not arrived by the start of the event. In the event of this occurring, we will endeavour to find you a seat or standing room, but this cannot be guaranteed.
For a copy of the risk assessment prepared for schools attending Royal Institution events, please email email@example.com
Filming and recording
By attending a Royal Institution event, audience members consent to being filmed, livestreamed, recorded and photographed. Audience members grant the Royal Institution the right to use recordings of any type made of their attendance in any and all media, and by means of publicity and promotion relating to the Royal Institution. School parties should ensure that appropriate parental permission is obtained before attendance at any Royal Institution event.
The unauthorised use of photographic, sound or film equipment in the venue is strictly prohibited. If you wish to use this equipment, please contact the Events Team prior to the start of the event. The copyright is assigned to the Ri for any recordings of events produced by the Ri. Unauthorised recording may result in content being destroyed, and your removal from the event without a ticket refund.
All electronic equipment, especially mobile phones, must be set to silent before entering the Theatre and/or any other spaces where events are taking place.
The Royal Institution operates a non-smoking policy throughout its entire building.
Events that supersede these terms and conditions
Some special events, for example the CHRISTMAS LECTURES, have Terms and Conditions for booking and attendance that supersede the ones given here. In those cases we will inform you of the new Terms and Conditions on booking.