Image source, Reuters

US President Joe Biden has called this a "pretty painful week", referencing the ongoing Chauvin trial as well as the fatal shooting of Daunte Wright near Minneapolis.

He spoke about the tumultuous events in Minnesota during a meeting with members of the Congressional Black Caucus at the White House.

"Daunte Wright in Minnesota, that godawful shooting resulting in his death in the midst of an ongoing over the killing of George Floyd," Biden remarked.

The president also said there was a need for racial equality, which his government would seek to achieve.

"But we’re in the business - all of us meeting today - to deliver some real change," Biden said.

Court proceedings have now ended for the twelfth day of the trial.

The judge's closing message to jurors is: "Have a good night. Don't talk to anyone. Don't watch the news. Thank you."

Image source, Reuters

The court is shown a brief video clip of Floyd’s arrest which focuses on the group of people that had gathered outside Cup Foods.

Showing a screenshot of the crowd from the video, the prosecuting lawyer points to each person in turn on the screen.

“In terms of the volume you’re hearing, you don’t hear this person saying anything, do you?,” he asks.

“No,” Brodd replies.

“Or her?,” the prosecutor asks.

“No,” Brodd replies.

“Or her?,” the prosecutor asks.

“No,” Brodd replies.

“Or him? The gentleman in the blue shirt and the baseball hat,” the prosecutor asks.

“No, didn’t hear him say anything,” Brodd says.

“The only person you heard say anything is the person in the hooded sweatshirt, correct? Is it fair to say he was expressing concern?” the prosecutor asks.

“Yes,” Brodd says.

The hostile-crowd theory is a key part of the defence’s justification for Chauvin’s actions during the arrest of Floyd. The prosecution will attempt to discredit it in the cross-examination this week.

After a long cross-examination that ended in the defence's witness walking back some of the points he made previously, the defence is back with more questions for their witness.

Prompted by the defence, Barry Brodd says the video clips that the court has seen show "highlights" rather than "the totality of the sequence", as attorney Eric Nelson calls it.

Brodd also agrees with Nelson that analysis of the continuing use of force includes what someone else did before, including that he had strength enough to overpower the three officers as they attempted to get him into the squad car.

He also contends that the restraint relied on the "minimal body weight" of Chauvin and it did not impact George Floyd's neck, as evidenced by Floyd's movements.

The witness showed "active aggression" through "kicking motions", even if his resistance was not necessarily violent.

Analysts for the prosecution have previously said that Floyd's kicking movements were from his attempts to breathe.

We're back from a short break and prosecutor Steve Schleicher is questioning defence witness Barry Brodd, a use of force expert, about the crowd and how it might have affected Derek Chauvin's actions.

That the "hostile" crowd distracted Chauvin is a key part of the defence's argument.

Brodd is unable to point out any instance in which bystanders are saying or doing anything to threaten the officers.

One officer is heard asking Floyd: "What do you want?"

Floyd pleads: "I can't breathe." He later says "everything hurts".

The prosecutor pushes Brodd to concede that Floyd begged for his life and that Chauvin did not move him into a recovery position even after Floyd had become more compliant.

Brodd pushes back, saying that "a compliant person would have both of his hands in the small of his back resting comfortably".

"Did you say resting comfortably?" exclaims Schleicher.

"Yes," replies Brodd.

"So attempting to breathe while being restrained is being non-compliant?"

"No."

Tara McKelvey
BBC News, Minneapolis

Upon hearing the news that Kim Potter, the police officer who shot Daunte Wright, had resigned, along with Police Chief Tim Gannon, Amber Young says she had two reactions.

Young, who works at a Salvation Army in Minneapolis, says she was glad they had both resigned, but felt the announcement should have come sooner.

She was standing outside the Brooklyn Center police department as she spoke, describing how upset she has been with the actions of the police.

“She should have been fired,” says Young, referring to the police officer. “Her resignation should not have come before.”

When it comes to the police chief, Young says simply: “I’m glad he’s gone. He showed no concern for the community.”

She was one of the few protestors at the police department on Tuesday, standing in the wind, as ice and rain whipped around her.

The police officers who were guarding the premises had also dwindled in numbers on this chilly day.

After a moment, Young herself turned around d to leave. Still, she says she will return at night.

Like many of those who have come here to express their anger at the police, she is determined to get her message across.

For them, the two resignations are an important step. But Young and other are demanding a complete overhaul of the police department.

BBC OS

Protests have continued in Minnesota over the killing of a black man, 20-year-old Daunte Wright, during a traffic stop in the city of Brooklyn Center, some 10 miles from Minneapolis.

Police Chief Tim Gannon said the shooting was an accident, and that the police officer, named as Kim Potter, meant to use a Taser instead of a gun.

Mike Griffin is a community organiser and has been taking part in protests in Minneapolis.

"Tensions are high," he told the BBC.

"Last night [Monday] police arrested dozens of people for violating a 7 PM curfew. Keep in mind that the officer who killed Daunte Wright is walking around a free person.

“That’s the chilling moment that we have in Minneapolis, and that’s the reason why a lot of us are still out there protesting.

"As long as this police officer is out walking around a free woman, I will still be out protesting in the streets."

Former US President Barack and former First Lady Michelle Obama have issued a joint statement about the fatal shooting of Daunte Wright. The shooting of the 20-year-old has re-ignited racial justice protests in Minnesota, where the trial over the death of George Floyd is taking place.

The statement says their "hearts are heavy" over the shooting of Wright by a police officer just north of Minneapolis on Sunday.

The Obamas called for "a full and transparent investigation" into the shooting. The incident, they said, shows "just how badly we need to reimagine policing and public safety in this country".

"Michelle and I grieve alongside the Wright family for their loss," they said.

"We empathize with the pain that Black mothers, fathers, and children are feeling after yet another senseless tragedy."

The prosecutor is pressing Brodd about applying common sense to policing.

"If I’m telling you in a normal voice, I can’t breathe, you might have reason to doubt me, correct?" the prosecutor says. Brodd nods in agreement.

The prosecution clarifies that in a position that could cause difficulty breathing, that's a different context, and a resonable officer would "consider what they're doing, wouldn't they?"

Brodd disagrees, saying "it appeared to me with that video that he was still struggling".

Questioning Brodd's characterisation of Floyd's body movements during the arrest, the prosecutor asks: "Was he struggling or writhing?"

Brodd says he does not know the difference, before adding he thought it was "reasonable" for an officer to "still consider he was struggling".

The US has long grappled with racism and policing issues.

Last year, BBC's Clive Myrie took a look at how this led to the most serious unrest in the US for many years.

Warning: This post contains an upsetting image.

After walking through use of force and issues around the prone position and asphyxia, prosecutor Steve Schleicher is still trying to get Brodd to nail down exactly where Chauvin's knee was on Floyd.

To do this, he brings up a still image from a police bodycam.

He first circles Floyd's shoulder area, and gets Brodd to confirm that would be Floyd's "upper back".

He then circles where Chauvin's knee is, as can be seen in the image below.

"That's above the area that you've identified as Mr Floyd's upper back, isn't it?" Schleicher asks.

"Yes," Brodd says.

"His left knee is on Mr Floyd's neck in this picture, isn't it?"

Brodd acknowledges that in this picture, yes, it is.

Image source, Reuters

As we hear from the defence, here's a look back at the key moments from the last 11 days as the prosecution made their case.

The court heard from eyewitnesses, police officers and medical experts as prosecutors sought to convince the jury that Chauvin's actions resulted in Floyd's death.

Brodd is now being asked about what counts as a threat as the prosecution tries to rebut the defence's arguments about Chauvin's use of force being "unattractive but necessary".

Not seeing hands or adopting a confrontational stance, Brodd says, could be examples.

The prosecutor notes that anyone could be a risk if they're, say, hiding their hands, but not a threat.

"Would you agree that a threat is when I would be doing something to show some sort of attention to cause you harm?"

Brodd agrees. He also agrees when the prosecutor says someone being large does not necessarily mean they are a threat, and that not all drugs cause threatening behaviour - some can make people drowsy, for example.

Image source, Reuters

"Just hearing that someone is on something - that is not necessarily a threat to the officer, correct?" asks Schleicher.

"Unless there is behaviour that makes the officer believe that they're under the influence," Brodd says.

The prosecution points out there is a difference between behaviour showing drug use versus behaviour that is threatening. But the manifestation of drug influence, Brodd says, could still be a threat.

When someone is passed out, however, prosecutorial lawyer Schleicher points out, that's actually a vulnerability rather than a threat.

Brodd agrees.

The prosecutor notes that the dangers of positional asphyxia - not being able to breathe in a certain position - are well known. Brodd agrees and answers he's known about the dangers since the 80s.

"Would you agree that that's something commonly understood in law enforcement?"

"Yes," Brodd replies, confirming it is not new information.

The prosecution gets Brodd to confirm that there are other positions that alleviate such dangers that could be used.

Going back now to the use of force question, prosecutor Schleicher has Brodd confirm that under the Minneapolis police department rules, kneeling could be a use of force and that a "reasonable officer" would know his department's guidelines.

Floyd's death in May last year ignited protests the world over. They lasted for weeks, fuelling calls for racial justice.

Here's a look back at some of those demonstrations.

Image source, Getty Images

Image source, Getty Images

Image source, Getty Images

Image source, Getty Images

The prosecutor questioning defence witness Barry Brodd is trying to nail down his view on Chauvin's position while restraining Floyd. He's shown the court a still image of Chauvin with his knee on Floyd's neck as Floyd is prone on the pavement.

Eventually, Brodd agrees, Chauvin has his knee in the vicinity of Floyd's head and back, on the top side of his body.

The prosecution asks if Brodd believes it's unlikely that orienting yourself on top of someone on the pavement with both legs is unlikely to produce pain.

Brodd says "it could". "I'm saying it could produce pain," he clarifies.

"If it could produce pain, then again looking at your premise - if it could produce pain, then it would be a use of force wouldn't it?"

"If the officers intent was to inflict pain that would be use of force," Brodd says.

The prosecutor presses Brodd on this. He mentions that earlier Brodd noted the position was "unlikely to produce pain and thats why it was not a use of force".

"Shown in this picture, that could be a use of force," Brodd agrees.

The jury is back from a short break.

The prosecution is now cross-examining Barry Brodd, the use-of-force expert who has just testified that Derek Chauvin acted reasonably in his arrest of George Floyd.

Image source, Court TV

Several witnesses have testified that people are susceptible to asphyxia when placed in the prone position.

Barry Brodd however argues that he does not consider the prone control Derek Chauvin held over George Floyd as a use of force.

He says it is safe and uses minimal effort to hold a person down.

He also notes that, for law enforcement, two or more people constitutes a crowd.

Of the crowd surrounding George Floyd, he says they "posed an unknown threat" because of the way they interacted with Chauvin, drawing his attention away from Floyd.

"At one point, Officer Chauvin felt threatened enough that he removed his pepper spray canister," he adds.

He concludes that he believes Chauvin actions were "following his training, following current practices in policing and were objectively reasonable".

Samantha Granville
BBC News, Minneapolis

There’s are a few atypical things about Chauvin’s trial.

It's being broadcast on television - a first in Minnesota state history - because of coronavirus safety precautions that prevent too many people from being in the courtroom and due to wide interest in the case.

If you walk in the front door and look to your right, you would see jurors spaced about six feet apart. The normal jury box was replaced with office chairs and one-person desks.

Straight in front of you is where the judge sits, and he’s encased in plexiglass. To the left of the judge is the witness box, also in plexiglass.

On the left side of the room, there are multiple lawyers from each side. Only a few can fit in the courtroom because of Covid-19 restrictions.

In the back of the room, there are two journalists who are allowed to be there and cover the proceedings. The normal spectator gallery was also taken away.

The defence's case rests on two main arguments: that George Floyd's ingestion of drugs contributed to his death, and that an aggressive crowd distracted the officers.

Barry Brodd testifies that, because George Floyd was on drugs, officers had reasonable fears that he could suddenly "go from compliant to non-compliant in a heartbeat" and display "superhuman strength".

He also says that Derek Chauvin and others needed to keep their "head on a swivel" because officers in uniform "stand for certain things" and therefore stick out when in public.

Brodd has nearly 30 years of law enforcement experience. In 2018, he testified on behalf of Jason Van Dyke, a Chicago officer who shot and killed 17-year-old black teenager Laquan McDonald, according to the New York Times.