Hello and welcome to live coverage of the Tokyo 2020 Olympic Games track cycling, including the women's sprint quarter finals and the men's Keirin.
See the day's full schedule here: Tokyo 2020 Olympic Games cycling schedule: when to watch the racing
Olympic cycling disciplines: Madison / team pursuit / omnium / track sprint / Keirin / team sprint
Follow live updates below:
We kick off the day with yet more sprinting, the women's sprint 1/8 finals beginning shortly, followed by the men's Keirin first round.
Then, after some repechages rounds for the women's sprint and men's Keirin, we have the men's Madison final at around 08.55 BST, before finishing off the day with some women's sprint quarter finals.
We begin with six heats in the women's sprint 1/8 finals, including Katy Marchant, who goes in heat five against Canada's Lauriane Genest.
Lea Sophie Friedrich (Germany) was simply too fast for ROC's Anastasiia Voinova, passing through to the next round. For now, it's still just one and done, but don't worry, we'll move to best of three later this morning.
Elise Andrews took it high before darting down at the bell, the New Zealander opening a gap before Canadian Kelsey Mitchell lunged for the line and nicked it at the last.
Reigning world champion Emma Hinze (Germany) easily dispatches China's Zhong Tianshi.
Mathilde Gros and Lee Wai Sze get pulled up to restart their heat after the French rider goes off the track as the pair jostle for position on the opening lap.
They waste no time when they get restarted, a fast one, with Lee Wai Sze just nicking it from Gros on the line. Up next, Katy Marchant.
Sublime racing from Marchant, dips down to steal the inside line from Genest, then having the speed to keep the Canadian at bay and cross the line first.
And in the last 1/8 final the Dutch rider Braspennincx passes Ukrainian Starikova. Six riders now through to the quarter finals with two more set to progress via the repechages round in a while.
Jason Kenny is now up in the first heat of the men's Keirin.
Kenny leads from the front with three laps to go but gets swamped in the final lap, Germany's Max Levy and France's Helal the top two progressing straight through, repechages for the rest.
Another chance for the Brits as Jack Carlin lines up in heat two, which is about to get underway
A crash takes down the Kazakhstan and Malaysian rider as Jack Carlin moves out and up the track, the Brit trying to get around another rider himself. The race is called off and will be re-done.
There was some barging between Carlin and Sahrom, you can see in the TV replays, but for now we're moving onto heat three and will return to heat two later.
A great ride from Malaysia's Awang, using power and poise to win the heat, with Trinidad and Tobago's Paul going through in second.
Sprint gold medal Harrie Lavreysen is now up in the next heat, going against Aussie Matt Glaetzer, should be a good one this.
And it's Japan's Yudai Nitta and ROC's Denis Dmitriev who progress, Glaetzer and Lavreysen hanging around the back and giving themselves too much work to do in the final lap to make it into the top two.
Japan's Yuka Wakimoto elicits a big cheer from the crowd as he crosses the line first in heat five, New Zealand's Callum Saunders charging late to take the second spot from Colombia's Quintero.
Ponomaryov and Sahrom don't start the replay of heat two due to their crashes, so only four riders contesting this one now
Another crash! Canada's Hugo Barrette hitting the deck before Jack Carlin and Matthijs Büchli progress.
Now for some women's sprint repechages, the winner of each heat through to the quarter finals.
A very close one in the first heat - Lauriane Genest edging out Mathilde Gros by the literal slimmest of margins, one 1/1000 of a second!
Ukraine's Starikova was patient before timing her lunge for the line with perfection, charging up on the outside to nick it from Andrews and Zhong.
Matthijs Büchli is out after getting relegated, he was first warned following the initial crash in the second heat, but he was also apportioned the blame for the second crash in the replay, Australia's Richardson getting his place in the next round instead.
After his earlier crash, Malaysia's Sahrom is back in the Keirin repechages
Trinidad and Tobago's Browne and Sahrom progress through after a big battle in that heat, everyone somehow staying upright after an incident that looked certain to bring riders down.
Great ride from Kenny to qualify with some daylight between him and the rest in the repechages. Büchli, who was allowed back in, looked ominous, but just missed out as Germany's Bötticher took second.
Hugo Barrette is still wearing his torn skinsuit as he lines up alongside Harrie Lavreysen in the next Keirin repechages round.
Cor...Lavreysen doesn't leave it to chance as he takes a flyer on the last lap, gapping the others, with Suriname's Tjon En Fa getting through in second.
Matt Glaetzer and Colombia's Quintero make it through the final repechages round and the end of the Keirin competition for the day. Up next should be the first women's sprint quarter final before the men's Madison...
Starikova pulls it off again! Charging late to take it off Germany's Friedrich, who looked to have it under control until the very last second. 1-0 to the Ukrainian.
The second quarter final sees the two Canadians - Mitchell and Genest - up against each other. Mitchell coming over the top after Genest had led most of the way around.
Hinze's eases to the first win against the Netherlands' Braspennincx
Lee Wai Sze takes the first round against Katy Marchant, a fiercely competitive that one. Now, onto the Madison.
France on the offensive early, breaking away, winning the first sprint, with GB next across. A New Zealand rider has also come down in the opening laps after a crash, getting straight back up as he was sliding across the velodrome, impressive.
Matt Walls and Ethan Hayter represent GB, with Elia Viviani lining up for Italy and also among the big names on show here.
France take the next sprint as well, opening up a five-point lead, while Britain score again and are in second.
Wow, a New Zealand rider almost comes down again after a Dutch rider cuts across. He seemed to get knocked off his saddle but managed to balance on his top tube, skating his feet across the velodrome floor to maintain his balance.
Well-timed change from GB to win sprint number three, joining France in the lead, with Australia and Spain the next across the line this time.
The Dutch win that sprint, as Germany decide the opportune moment for a hand-sling is as they come across the line, definitely losing points due to that manoeuvre
Belgium win the next sprint, GB in second, which is enough to take them clear of France at the top of the leaderboard.
Denmark win that fifth sprint, the world champions, featuring lead-out man extraordinaire Michael Mørkøv. GB now four points clear of the Danes.
Italy ahead of Denmark in the next sprint, things hotting up now.
Belgium lead France through the next sprint, points being shared around for the time-being, all very tight at the top of the leaderboard.
GB take three points behind the USA at the next sprint after a brief move off the front by the two nations that is quickly closed down.
GB on the attack again! Matt Walls off the front looking to extend their four-point lead, Denmark chasing.
Things back together now, GB and Denmark unable to snap the elastic.
Denmark, Italy and Britain through the next one at the halfway mark - 100 laps to go.
The two USA riders hit the deck, one gets up and the other looks to be in some pain.
The French on the attack now, stealing a march on the rest, half a lap ahead, they'll take the net sprint too as Denmark pip GB on the line.
France still half a lap ahead, taking the next sprint ahead of Denmark, the Netherlands and Britain.
Current standings with 78 laps to go: Denmark 25 points, France 24, GB 23, Netherlands 16
Again, France take the next sprint, move into the gold medal position Denmark pick up a point behind Switzerland and Belgium, Britain still hanging onto the bronze medal position
The French attack comes to an end, Germany take the sprint ahead of them, followed by Belgium and Denmark
Britain lead into the next sprint lap, Denmark and Germany come over the top - 50 laps remaining
Denmark now in the lead with 33 points, one ahead of France, Britain still in third with 26
Switzerland now on the attack, France's Benjamin Thomas following along with Spain
Crash for Germany, rider down, checking his injuries
Switzerland take maximum points at the next sprint, followed by Denmark, Spain and France.
It looked like Roger Kluge who was brought down in that crash...which looked like a lapse in concentration as the German tracked Ethan Hayter's wheel
Spain on the offensive, Italy following with a burst of speed, the Netherlands trying to respond from the pack
Torres takes five points for Spain, followed by New Zealand, France and Italy. Still one point in it for the gold medal, Britain still third.
Denmark now move off the front, the chase stuttering in their response, a great move as they hunt down Spain.
Belgium also involved, a dangerous trio now up ahead
Germany and GB chasing them down, getting closer, Belgium taking maximum points with 20 laps to go, closing in on the bronze medal.
Belgium alone out front now, the rest a quarter of a lap behind chasing
Italy on Belgium's wheel across the next sprint, closing in on third place, 10 laps to go...and then Britain counter!
Britain actually took three points behind Belgium in that last sprint, they've timed this move very well to solidify their place amongst the medals
Maximum points for Britain at the end of the race as Ethan Hayter crosses the line...Denmark take gold, GB with silver ahead of France in third.
A fantastic finish from GB, they looked precarious in the middle section of the race but pulled it back just in time.
Denmark were imperious throughout, and Michael Mørkøv will prove a popular winner after spending most of his time putting others on the top step of the podium when racing on the road for Deceuninck - Quick-Step.
Some reaction from the British duo:
Matt Walls: "I was just cooked halfway, we had a bit of gas at the end just to finish it off."
Ethan Hayter: "I mean we set out on the front to try and get a bit of a head start, stay out of trouble. I kind of started to suffer...Matt started to suffer but then we had a good run. There were some teams off the front but we recovered."
Aaand the sprint competition returns (we'd gone at least half an hour without one, so it was about time), with Friedrich levelling the score against Starikova to take it to a decider
Mitchell takes her second win against compatriot Genest to progress through to the next round
Hinze dispatches Braspennincx to go through to tomorrow's semi-finals, the Dutchwoman couldn't get close to the German there
Next up for Marchant, she has to win here to stay in the game against Lee Wai Sze
Marchant goes long, with more than a lap to go, but can't hold off the charge of Lee Wai Sze, the Hong Kong rider through to the next round
Jack Carlin, talking to the BBC, on the chaotic Keirin earlier: "Yeah it was absolute chaos to be honest with you, I've never been in a race like it. A race where everybody wants it so badly they'll do anything. I don't know what the replay shows but I don't think I did anything wrong in either of the moves, I was trying to stay upright. It was just chaos, trying to find the easiest way around.
"You can't blame anyone, it's racing, there are times I've been on the other side of it as well. We live to fight another day I suppose.
"There were points where I wanted to close my eyes and hope for the best. We'll go again tomorrow."
Some more reaction filtering through.
Jason Kenny speaking to the BBC after getting through the Keirin repechages: "I felt a lot better in the rep, messed the first one up a little bit so had to go the long way around. Survived to fight another day."
On the crashes: "Normally I'm just happy I've got a bit more recovery to be honest when they clean up the carnage. I think because when you go out now there's no racing beyond that so everyone's going above it and that's why you get the crashes."
On defending his title: "I'll keep chipping away, hanging in there, in the first one it gets away from you if you're not paying attention. Chuffed to get through."
On Laura Kenny's success: "It was mega, absolutely magic. Dead chuffed for them, seen them working hard on it back in Manchester, they have such a strong team and they were matching the speed of the races to what was going to happen."
The final race of the day, the decider between Friedrich and Starikova for the final spot in the women's sprint semi-final...and Starikova does it! Again, she leaves it almost to late, lunging for the line to pip Friedrich and book her place in the semis, phenomenal.
A round-up of the day's action:
Some more reaction:
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